It only works when you search for select people, and even then, you wont always get the freshest tweets from that person, and certainly not as it was tweeted.

Bing is also involved in a project called BingTweets with Federated Media and Twitter. BingTweets is basically a site that looks at Twitter trends, and features a window with tweets on certain topics as they roll in real time, and another window with Bing results. But it also lets you search for something and provides both Bing results and Twitter results. The two entities are separate from one another, and BingTweets itself is separate from Bing.