I work in tabbed browsing as well but I use twitter as essentially a scrolling news service. Each tweet has a link and each link opens up as a new web page and isn't smart enough to tab. So, I either have to be very tidy and close every page as I go along or I end up with many pages open. The implementation on my iPad/iPhone is much better as a link pulls up the webpage with the twitter application and to get back to your twitter feed you must close the web page. Much faster and tidier.