Twitter is fail whaling left and right, but I doubt that’s causing workers to become more productive. In fact, I would argue that those Twitter obsessed members of your staff are spending more time refreshing their browser/client/mobile app to get back to their social media life line than they would normally lose by Tweeting.
Just a thought.
Update: 16 minute outage or so, not terrible. Unless you’re a social media website with millions of users.