Feature request: per-message timestamps in conversation view

Feature Request

Add optional per-message timestamps to the Claude Code conversation view (both terminal and VS Code extension).

Use Case

During long development sessions (4-8+ hours), it's valuable to know when specific interactions happened — for correlating with deploy events, CI runs, API usage tracking, and post-session review. Currently there's no way to see when a message was sent or received without checking external logs.

Suggested Behavior

• Configurable setting (off by default): "showTimestamps": true in settings
• Subtle timestamp next to each user message and assistant response (e.g., 10:34 AM or 14:34)
• Useful for:
• Correlating Claude's actions with external system events
• Tracking session duration and pacing
• Post-session review of conversation transcripts
• Cost analysis (matching API usage spikes to specific interactions)

Context

Filed on behalf of a user running multi-hour Claude Code sessions for infrastructure development, where timestamp visibility would significantly improve workflow tracking.