Feature request: remote session monitoring from Claude mobile app / claude.ai

Summary

I'd love the ability to monitor and interact with running Claude Code sessions remotely — from the Claude iOS app or claude.ai — without needing SSH or a terminal app on my phone.

Use case

I frequently kick off long, multi-step agentic tasks in Claude Code on my laptop and then step away. Right now, if Claude needs input (tool approval, a clarifying question, etc.), it just blocks until I'm back at my desk. Being able to check in from my phone would be a huge quality-of-life improvement.

What would be useful (rough priority order)

1. Read-only live log — stream the conversation output to a linked claude.ai or mobile session so I can see progress
2. Push notification on completion or block — "Your session finished" or "Claude is waiting for input" would cover 80% of the value
3. Remote interaction — approve/deny tool use, answer questions, or send follow-up messages from the mobile app
4. Session list — see all active Claude Code sessions linked to my account, with status (running / waiting / done)

Possible implementation directions

• WebSocket-based session sync — Claude Code CLI opens a WS connection to a relay; claude.ai/mobile subscribes to the same session ID
• Build on MCP — an MCP server that exposes the session log as a resource and tool approvals as callable tools
• Lightweight alternative — even a simple webhook/push notification on session completion or tool-approval-needed events would be valuable

Context

I run Claude Code on Windows 11 with multiple long-running background agents (scheduled tasks, pipeline runs, etc.). The existing --background and remote agent features are great — this would complement them by closing the "monitoring gap" when I'm away from my desk.

Thanks for considering this! Happy to help test or provide more detail.