diff --git a/CHANGELOG.md b/CHANGELOG.md
index 06ae374..22f01ba 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,37 @@ All notable changes to this project will be documented in this file.
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.1.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
+## [Unreleased]
+
+### Added
+
+- **Parallel-subagent benefit insight.** The subagent phase is aggregated by wall-clock
+  union (overlapping fan-out isn't double-counted), but the *sum* of agent durations still
+  carries signal: `sum − union` = time saved by running them concurrently, `sum / union` =
+  effective concurrency. Adds an Insights line — e.g. `⚡ Parallel subagents: 5 ran in 38m
+  wall (53m of work · 1.4× concurrent · saved 15m vs sequential)` — shown only when ≥2
+  subagents actually overlapped, so sequential sessions get no spurious line.
+
+### Fixed
+
+- **Time breakdown: cap "Claude thinking" gaps so mid-turn suspensions aren't counted as thinking.**
+  Previously only the assistant-end→user gap was capped by `IDLE_THRESHOLD_MS`; the
+  user→assistant and tool_result→assistant gaps (both attributed to `claudeThink`) were
+  uncapped. So any long pause that landed *mid-turn* — an overnight gap after a tool result,
+  a credit stall, a remote-control handoff — was reported as hours of "Claude thinking."
+  These gaps are now capped at `THINK_CAP_MS` (10 min); the remainder is booked as `humanAway`.
+  On a real 16 h session with overnight gaps this moved ~9 h out of "thinking"
+  (11 h 34 m → 2 h 35 m) into away time, where it belongs.
+- **Time Breakdown: count parallel subagents/tools by wall-clock union, not sum.**
+  `computeEnhancedStats` emitted one segment per tool/agent and summed them, so
+  tools and subagents fanned out in a single assistant turn (e.g. a panel of
+  review subagents) were double-counted. The `Subagents` and `Tool execution`
+  bars are now aggregated by wall-clock interval union (subagent wins on
+  cross-kind overlap), so they reflect real elapsed time and the active-time
+  percentages stay a true partition that sums to <=100% (previously could read
+  e.g. 109%). On a fan-out-heavy session this dropped reported subagent time from
+  ~53m (sum of 19 overlapping agents) to ~38m (true elapsed).
+
 ## [1.0.0] - 2026-02-18
 
 ### Added
diff --git a/src/analyzer.test.ts b/src/analyzer.test.ts
index b0810d5..5faff72 100644
--- a/src/analyzer.test.ts
+++ b/src/analyzer.test.ts
@@ -444,3 +444,168 @@ describe('analyzer: warmup cost', () => {
     expect(result.warmupCost.turnCount).toBe(1);
   });
 });
+
+describe('analyzer: segment-union ≤ wall-clock invariant', () => {
+  // Local copy of the analyzer's wall-clock union (it isn't exported). Time
+  // accounting must aggregate possibly-overlapping spans by UNION, not SUM —
+  // overlapping spans can never cover more wall-clock than exists. This guards
+  // against a regression that double-counts parallel tool/subagent spans.
+  function unionMs(spans: Array<[number, number]>): number {
+    if (spans.length === 0) return 0;
+    const sorted = [...spans].sort((a, b) => a[0] - b[0]);
+    let total = 0;
+    let [curStart, curEnd] = sorted[0];
+    for (let i = 1; i < sorted.length; i++) {
+      const [s, e] = sorted[i];
+      if (s <= curEnd) {
+        if (e > curEnd) curEnd = e;
+      } else {
+        total += curEnd - curStart;
+        curStart = s;
+        curEnd = e;
+      }
+    }
+    return total + (curEnd - curStart);
+  }
+
+  // seconds within one minute → ISO timestamp (matches the literal style above)
+  const T = (s: number) => `2026-01-01T00:00:${String(s).padStart(2, '0')}Z`;
+
+  it('holds with overlapping parallel-tool spans (union ≤ span < naive sum)', () => {
+    // Two tool_use in ONE assistant message → both start at the assistant ts, so
+    // their toolExec segments overlap. A naive sum overcounts; the union must not.
+    const result = analyzeSession('s1', [
+      userMsg(T(0)),
+      assistantMsg(T(2), { toolUses: [{ id: 'tu1', name: 'Bash' }, { id: 'tu2', name: 'Bash' }] }),
+      toolResultMsg(T(32), ['tu1']), // toolExec [2,32] = 30s
+      toolResultMsg(T(42), ['tu2']), // toolExec [2,42] = 40s, overlaps tu1
+      assistantMsg(T(50)),           // claudeThink [42,50] = 8s
+    ]);
+
+    const segs = result.enhancedSegments;
+    expect(segs.length).toBeGreaterThan(0);
+
+    const minStart = Math.min(...segs.map(s => s.startTime));
+    const maxEnd = Math.max(...segs.map(s => s.endTime));
+    const span = maxEnd - minStart;
+    const union = unionMs(segs.map(s => [s.startTime, s.endTime] as [number, number]));
+    const naiveSum = segs.reduce((acc, s) => acc + s.durationMs, 0);
+
+    // The invariant: union of all phase segments never exceeds the wall-clock span.
+    expect(union).toBeLessThanOrEqual(span);
+    // The parallel tools genuinely overlap, so the naive sum DOES exceed the span —
+    // demonstrating why aggregation must union (the bug class this guards).
+    expect(naiveSum).toBeGreaterThan(span);
+
+    // Each segment is a valid, non-negative interval consistent with its duration.
+    for (const s of segs) {
+      expect(s.endTime).toBeGreaterThanOrEqual(s.startTime);
+      expect(s.durationMs).toBe(s.endTime - s.startTime);
+    }
+  });
+
+  it('holds for a simple sequential session (no overlap)', () => {
+    const result = analyzeSession('s2', [
+      userMsg(T(0)),
+      assistantMsg(T(5), { toolUses: [{ id: 'tu1', name: 'Read' }] }),
+      toolResultMsg(T(8), ['tu1']),
+      assistantMsg(T(10)),
+    ]);
+    const segs = result.enhancedSegments;
+    const span = Math.max(...segs.map(s => s.endTime)) - Math.min(...segs.map(s => s.startTime));
+    const union = unionMs(segs.map(s => [s.startTime, s.endTime] as [number, number]));
+    expect(union).toBeLessThanOrEqual(span);
+  });
+});
+
+describe('analyzer: parallel subagents counted by wall-clock union', () => {
+  it('does not sum overlapping (fanned-out) subagent durations', () => {
+    // 3 Agents dispatched in ONE assistant turn (parallel fan-out), all starting
+    // at 00:00:10, returning staggered at +60s / +120s / +180s.
+    // Per-agent durations sum to 360s; true wall-clock elapsed is 180s.
+    const messages: SessionMessage[] = [
+      userMsg('2026-01-01T00:00:00Z', 'go'),
+      assistantMsg('2026-01-01T00:00:10Z', {
+        toolUses: [
+          { id: 'a1', name: 'Agent' },
+          { id: 'a2', name: 'Agent' },
+          { id: 'a3', name: 'Agent' },
+        ],
+      }),
+      toolResultMsg('2026-01-01T00:01:10Z', ['a1']),
+      toolResultMsg('2026-01-01T00:02:10Z', ['a2']),
+      toolResultMsg('2026-01-01T00:03:10Z', ['a3']),
+      assistantMsg('2026-01-01T00:03:20Z'),
+    ];
+    const a = analyzeSession('s', messages);
+    expect(a.enhancedStats.subagent).toBe(180_000); // union, NOT 360_000 sum
+    expect(a.enhancedStats.toolExec).toBe(0);
+  });
+
+  it('does not sum overlapping parallel non-agent tool calls either', () => {
+    // 2 Bash calls in one turn, overlapping: spans 60s + 120s (sum 180s), union 120s.
+    const messages: SessionMessage[] = [
+      userMsg('2026-01-01T00:00:00Z', 'go'),
+      assistantMsg('2026-01-01T00:00:10Z', {
+        toolUses: [
+          { id: 'b1', name: 'Bash' },
+          { id: 'b2', name: 'Bash' },
+        ],
+      }),
+      toolResultMsg('2026-01-01T00:01:10Z', ['b1']),
+      toolResultMsg('2026-01-01T00:02:10Z', ['b2']),
+      assistantMsg('2026-01-01T00:02:20Z'),
+    ];
+    const a = analyzeSession('s', messages);
+    expect(a.enhancedStats.toolExec).toBe(120_000); // union, NOT 180_000 sum
+    expect(a.enhancedStats.subagent).toBe(0);
+  });
+
+  it('sequential subagents still add up (no spurious union collapse)', () => {
+    // Two NON-overlapping agents: 60s then 60s = 120s union == 120s sum.
+    const messages: SessionMessage[] = [
+      userMsg('2026-01-01T00:00:00Z', 'go'),
+      assistantMsg('2026-01-01T00:00:10Z', { toolUses: [{ id: 'a1', name: 'Agent' }] }),
+      toolResultMsg('2026-01-01T00:01:10Z', ['a1']),
+      assistantMsg('2026-01-01T00:01:20Z', { toolUses: [{ id: 'a2', name: 'Agent' }] }),
+      toolResultMsg('2026-01-01T00:02:20Z', ['a2']),
+      assistantMsg('2026-01-01T00:02:30Z'),
+    ];
+    const a = analyzeSession('s', messages);
+    expect(a.enhancedStats.subagent).toBe(120_000);
+  });
+});
+
+describe('analyzer: thinking gaps are capped (mid-turn suspension ≠ thinking)', () => {
+  const CAP = 10 * 60 * 1000; // THINK_CAP_MS
+
+  it('caps a long tool_result→assistant gap: 10min think + remainder humanAway', () => {
+    const result = analyzeSession('s1', [
+      userMsg('2026-01-01T00:00:00Z'),
+      assistantMsg('2026-01-01T00:00:02Z', { toolUses: [{ id: 'tu1', name: 'Bash' }] }),
+      toolResultMsg('2026-01-01T00:00:12Z', ['tu1']),
+      assistantMsg('2026-01-01T02:00:12Z'), // 2h gap after the tool result (session suspended)
+    ]);
+    // 2s legit first-response think (user→assistant) + 10min cap on the suspended gap
+    expect(result.enhancedStats.claudeThink).toBe(2000 + CAP);
+    expect(result.enhancedStats.humanAway).toBe(2 * 60 * 60 * 1000 - CAP); // 1h50m booked as away
+  });
+
+  it('caps a long user→assistant first-response gap the same way', () => {
+    const result = analyzeSession('s1', [
+      userMsg('2026-01-01T00:00:00Z'),
+      assistantMsg('2026-01-01T03:00:00Z'), // 3h before first response (suspended)
+    ]);
+    expect(result.enhancedStats.claudeThink).toBe(CAP);
+    expect(result.enhancedStats.humanAway).toBe(3 * 60 * 60 * 1000 - CAP);
+  });
+
+  it('leaves a normal short think gap untouched (no spurious humanAway)', () => {
+    const result = analyzeSession('s1', [
+      userMsg('2026-01-01T00:00:00Z'),
+      assistantMsg('2026-01-01T00:05:00Z'), // 5min < cap
+    ]);
+    expect(result.enhancedStats.claudeThink).toBe(5 * 60 * 1000);
+    expect(result.enhancedStats.humanAway).toBe(0);
+  });
+});
diff --git a/src/analyzer.ts b/src/analyzer.ts
index a201f8e..f8a7888 100644
--- a/src/analyzer.ts
+++ b/src/analyzer.ts
@@ -6,6 +6,14 @@ import type {
 import { estimateCost } from './pricing.js';
 
 const IDLE_THRESHOLD_MS = 2 * 60 * 1000; // 2 minutes
+// A single uninterrupted model response effectively never exceeds this. A longer
+// gap before an assistant message means the session was SUSPENDED mid-turn
+// (overnight pause, credit stall, remote-control handoff) — not the model
+// "thinking" for hours. We cap the thinking slice at this and attribute the
+// remainder to humanAway, so long-pause sessions aren't reported as huge
+// "Claude thinking" time. (Only the assistant-end→user gap was capped before;
+// the user→assistant and tool_result→assistant gaps were not.)
+const THINK_CAP_MS = 10 * 60 * 1000; // 10 minutes
 const SUBAGENT_TOOLS = new Set(['Task', 'Agent']);
 
 export function analyzeSession(sessionId: string, messages: SessionMessage[]): SessionAnalysis {
@@ -176,6 +184,18 @@ function detectEnhancedPhases(messages: SessionMessage[]): EnhancedTimeSegment[]
     segments.push({ phase, startTime: start, endTime: end, durationMs: end - start, toolName });
   }
 
+  // Emit a "Claude thinking" (or planning) slice, capped at THINK_CAP_MS. Any
+  // excess is a mid-turn suspension, not thinking, so it's booked as humanAway.
+  function emitThink(start: number, end: number) {
+    const phase: EnhancedPhaseType = planModeActive ? 'planning' : 'claudeThink';
+    if (end - start <= THINK_CAP_MS) {
+      emit(phase, start, end);
+    } else {
+      emit(phase, start, start + THINK_CAP_MS);
+      emit('humanAway', start + THINK_CAP_MS, end);
+    }
+  }
+
   for (const msg of messages) {
     const ts = Date.parse(msg.timestamp);
     if (isNaN(ts)) continue;
@@ -225,14 +245,12 @@ function detectEnhancedPhases(messages: SessionMessage[]): EnhancedTimeSegment[]
 
       // Gap from last external user message → this assistant = Claude thinking (first response)
       if (lastExternalUserTs !== null) {
-        const phase: EnhancedPhaseType = planModeActive ? 'planning' : 'claudeThink';
-        emit(phase, lastExternalUserTs, ts);
+        emitThink(lastExternalUserTs, ts);
         lastExternalUserTs = null;
       }
       // Gap from last tool_result → this assistant = Claude thinking (mid-turn, processing results)
       else if (lastToolResultTs !== null) {
-        const phase: EnhancedPhaseType = planModeActive ? 'planning' : 'claudeThink';
-        emit(phase, lastToolResultTs, ts);
+        emitThink(lastToolResultTs, ts);
       }
 
       lastAssistantEndTs = ts;
@@ -258,11 +276,52 @@ function detectEnhancedPhases(messages: SessionMessage[]): EnhancedTimeSegment[]
   return segments;
 }
 
+/** Wall-clock union (ms) of possibly-overlapping [start, end] spans. */
+export function unionMs(spans: Array<[number, number]>): number {
+  if (spans.length === 0) return 0;
+  const sorted = [...spans].sort((a, b) => a[0] - b[0]);
+  let total = 0;
+  let [curStart, curEnd] = sorted[0];
+  for (let i = 1; i < sorted.length; i++) {
+    const [s, e] = sorted[i];
+    if (s <= curEnd) {
+      if (e > curEnd) curEnd = e;
+    } else {
+      total += curEnd - curStart;
+      curStart = s;
+      curEnd = e;
+    }
+  }
+  return total + (curEnd - curStart);
+}
+
 function computeEnhancedStats(segments: EnhancedTimeSegment[]): EnhancedStats {
   const stats: EnhancedStats = { humanWait: 0, humanAway: 0, claudeThink: 0, toolExec: 0, subagent: 0, planning: 0 };
+
+  // claudeThink / planning / humanWait / humanAway are emitted as sequential,
+  // non-overlapping slices, so summing them is correct. But toolExec and
+  // subagent emit one segment PER tool/agent — when calls are fanned out in
+  // parallel (e.g. 5 review subagents from a single assistant turn) those
+  // segments overlap, and summing them double-counts the concurrency. Aggregate
+  // those two by WALL-CLOCK UNION instead so the breakdown reflects real elapsed
+  // time (and the active-time percentages stay a true partition that sums to
+  // <=100%, instead of e.g. 109%).
+  const subSpans: Array<[number, number]> = [];
+  const toolSpans: Array<[number, number]> = [];
   for (const seg of segments) {
-    stats[seg.phase] += seg.durationMs;
+    if (seg.phase === 'subagent') subSpans.push([seg.startTime, seg.endTime]);
+    else if (seg.phase === 'toolExec') toolSpans.push([seg.startTime, seg.endTime]);
+    else stats[seg.phase] += seg.durationMs;
   }
+
+  // subagent = wall-clock with >=1 subagent open.
+  // toolExec  = wall-clock busy with a tool but NOT already counted as subagent
+  //             (subagent wins on the rare cross-kind overlap, e.g. Agent + Bash
+  //             dispatched in the same turn), so the two never double-count.
+  const subagentMs = unionMs(subSpans);
+  const busyMs = unionMs([...subSpans, ...toolSpans]);
+  stats.subagent = subagentMs;
+  stats.toolExec = Math.max(0, busyMs - subagentMs);
   return stats;
 }
 
diff --git a/src/formatter.test.ts b/src/formatter.test.ts
index e5e3453..49b7c99 100644
--- a/src/formatter.test.ts
+++ b/src/formatter.test.ts
@@ -413,3 +413,34 @@ describe('formatter: insights', () => {
     expect(output).toContain('Warmup overhead');
   });
 });
+
+describe('formatSession: parallel-subagent benefit insight', () => {
+  const seg = (start: number, end: number) => ({
+    phase: 'subagent' as const, startTime: start, endTime: end, durationMs: end - start,
+  });
+
+  it('shows concurrency + time saved when subagents overlapped', () => {
+    // Two agents in one fan-out: [0,180s] and [0,120s] → sum 300s, wall(union) 180s, saved 120s.
+    const output = strip(formatSession(makeAnalysis({
+      enhancedSegments: [seg(0, 180_000), seg(0, 120_000)],
+    })));
+    expect(output).toContain('Parallel subagents');
+    expect(output).toMatch(/2 ran in 3m wall/);
+    expect(output).toMatch(/saved 2m vs sequential/);
+  });
+
+  it('shows nothing for a single subagent (no overlap to report)', () => {
+    const output = strip(formatSession(makeAnalysis({
+      enhancedSegments: [seg(0, 180_000)],
+    })));
+    expect(output).not.toContain('Parallel subagents');
+  });
+
+  it('shows nothing when subagents ran sequentially (no time saved)', () => {
+    // [0,60s] then [60s,120s] — adjacent, no overlap → sum == union, nothing saved.
+    const output = strip(formatSession(makeAnalysis({
+      enhancedSegments: [seg(0, 60_000), seg(60_000, 120_000)],
+    })));
+    expect(output).not.toContain('Parallel subagents');
+  });
+});
diff --git a/src/formatter.ts b/src/formatter.ts
index b226a59..b35f71e 100644
--- a/src/formatter.ts
+++ b/src/formatter.ts
@@ -1,5 +1,6 @@
 import chalk from 'chalk';
-import type { SessionAnalysis, EnhancedStats, AggregateJson, StuckLoop, WarmupCost } from './types.js';
+import type { SessionAnalysis, EnhancedStats, EnhancedTimeSegment, AggregateJson, StuckLoop, WarmupCost } from './types.js';
+import { unionMs } from './analyzer.js';
 
 const BAR_WIDTH = 20;
 
@@ -212,7 +213,7 @@ export function formatSession(analysis: SessionAnalysis): string {
   lines.push(` Context: ${sparkline}`);
 
   // Insights section
-  const insightLines = formatInsights(analysis.stuckLoops, analysis.warmupCost);
+  const insightLines = formatInsights(analysis.stuckLoops, analysis.warmupCost, analysis.enhancedSegments);
   if (insightLines.length > 0) {
     lines.push('');
     lines.push(hr('Insights'));
@@ -720,9 +721,27 @@ export function formatJsonAggregate(analyses: SessionAnalysis[]): AggregateJson
 
 // ── Insight helpers ──
 
-function formatInsights(stuckLoops: StuckLoop[], warmupCost: WarmupCost): string[] {
+function formatInsights(stuckLoops: StuckLoop[], warmupCost: WarmupCost, segments?: EnhancedTimeSegment[]): string[] {
   const lines: string[] = [];
 
+  // Parallel-subagent benefit: subagent segments are aggregated by wall-clock
+  // union (overlapping fan-out isn't double-counted), but the SUM still carries
+  // signal \u2014 sum vs union is the speedup from running agents concurrently.
+  // Shown only when \u22652 subagents actually overlapped (saved >1s), so sequential
+  // sessions get no spurious line.
+  if (segments && segments.length > 0) {
+    const sub = segments.filter(s => s.phase === 'subagent');
+    if (sub.length >= 2) {
+      const sumMs = sub.reduce((acc, s) => acc + s.durationMs, 0);
+      const wallMs = unionMs(sub.map(s => [s.startTime, s.endTime] as [number, number]));
+      const savedMs = sumMs - wallMs;
+      if (wallMs > 0 && savedMs > 1000) {
+        const factor = sumMs / wallMs;
+        lines.push(` ${chalk.magenta('\u26a1')} Parallel subagents: ${sub.length} ran in ${formatDuration(wallMs)} wall (${formatDuration(sumMs)} of work \u00b7 ${factor.toFixed(1)}\u00d7 concurrent \u00b7 saved ${formatDuration(savedMs)} vs sequential)`);
+      }
+    }
+  }
+
   // Stuck loop warnings
   if (stuckLoops && stuckLoops.length > 0) {
     for (const loop of stuckLoops) {