Feature request: show timestamps on chat messages

Feature Request

Add per-message timestamps to the Claude Code CLI conversation view.

Problem

When working on long sessions, there's no way to see when a message was written or when a task completed. This makes it hard to:

• Track how long individual tasks took
• Reference when something was done
• Review session history with time context

Proposed Solution

Show a timestamp next to each message (user input and assistant response), similar to chat apps like Slack/Discord. For example:

[15:32] > fix the login bug
[15:32] I'll look into the login bug...
[15:35] Done. The issue was...

Alternatives Considered

• Status line with session duration (partial workaround — only shows total elapsed time, not per-message)
• Hooks logging to a file (workaround, not integrated into the UI)

Neither provides the inline visibility that per-message timestamps would.

Additional Context

• Could be opt-in via a setting (e.g., "showTimestamps": true)
• Even just showing timestamps on assistant responses (completion time) would be valuable