Feature Request: Add Timestamps to CLI Messages

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

This task was marked as complete but claude code still doesnt have time stamps in its messages

https://github.com/anthropics/claude-code/issues/2447

Proposed Solution

Add time stamps to claude code answers

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_