This is my first Q to Meta, I reviewed anything similar before posting, but with no success.
I'm pretty new user to SE and like it much, so I have it as pinned tab in my Firefox. Among these I have my webmail opened, which has pretty nice feature: except realtime update, which is usual nowadays, it has a very noticeable red square with # of newly arrived messages on favicon, which immediately changes to regular one as soon as I switch to the tab (the leftmost one below):
As a result, I need to switch to e-mail tab only when new message arrives. And I'm desperately missing this feature for SE... :( Frankly, that's the only thing about the whole SE network I REALLY upset: perhaps being QA & usability specialist for about 5 years so far has its cons in notifying such things.
Perhaps many users will find this annoying, but for me it would be extremely helpful: check the page not every 5 mins, but only when something happened. As for the desired icon and events to show - this is the subject for discussion.