[Enhancement]: Add Pause/Resume Functionality

Problem Description

Currently, when following a conversation and steering Claude Code through complex tasks, there are situations where I need to look up additional information to provide more context to the conversation. However, the only option is to hit ESC, which terminates the current execution.

This creates a significant workflow issue: when I restart the conversation after gathering the needed information, Claude often takes a different approach to the problem. While this can sometimes be acceptable, in many cases I need Claude to continue along the same path it was already following - it just needs the additional context I went to retrieve.

Use Case

This is particularly problematic when working through active tasks with multiple subtasks. The conversation has built up valuable context and direction, and losing this progress by having to restart can be frustrating and inefficient.

Proposed Solution

Implement a pause/resume feature that would:

• Preserve the current conversation state and context
• Allow users to step away to gather additional information
• Enable resumption from the exact point where the conversation was paused
• Maintain the established problem-solving approach and direction

This enhancement would significantly improve the user experience when working on complex, multi-step development tasks that require external information gathering during execution.