As suggested on the tips and tricks blog about muting people, I created this Jira to ask for a recieve group chat button.
This will work just like the recieve group notices button, except it will allow you to uncheck it and not recieve group chat.
This is a feature that has been needed for a long time. I know many of us have been building, in a meeting, or in other activities and groups just keep talking. With this feature, you simply uncheck the recieve group chat button, and you will no longer recieve chat for that group until you check it again.