I'm having problems. It won't properly load for me. "Error Loading Tweets (401). Tap to retry" Then it says my password isn't entered. This is through the official twitter app. When I'm directed to their website and enter my password, still nothing happens. Frustrating, but I've been using twitter.com without a hitch. This all happened after I upgraded to the new iPad from the iPad 2.
Just saw the OP's post above mine, interesting.