Comment 18 for bug 376715

I'd very much like to see this implemented, particularly the 'no appearance on
taskbar' side of thing. Another application I have open all day is Winamp, and
it allows me to set it not to take up any taskbar real-estate.

With regards to the eventual behaviour, I could see it as an extension to the
New Mail Notification icon thing - have one icon in the system tray when there's
no new mail, and a different icon when there is. Left-clicking on the icon
always brings up the TB main window, and right-clicking gives a context menu.