Wishlist: 
- New comment overview. Right now I have no idea if a new comment comes in or where to find it.
- It's a bit odd that people who are not in my community are responding to comments without joining the community. That means I have no way to moderate conversations.  

 The first can be fixed with a better notifications view and maybe a live notification sound.

As for the replies being unmoderated. I don't know what the original intention was. But I think it might be better then the mods having to approve every comment