Yes, we know. We're seeing the robot with the broken hand, too. Just think of this as a little extra time to craft that perfect @ reply. Twitter acknowledged that some users are having issues with the site at the moment, but promised that it's got its best people on the job. That little 'bot should have its limb reattached in no time, kids.
Update: After roughly 25 minutes of downtime, Twitter's back online.
Source: Twitter Status