To twitter in your dream represents your desires to stay connected with others. Perhaps you are expressing concerns about losing touch with someone around you. Alternatively, the dream implies that you need to be more concise in how you express yourself.
If you are following someone on twitter in your dream, then it may mean that you need to learn to think for yourself. You need to be a leader instead of a follower. Alternatively, if you dream that others are following you on twitter, then it highlights your leadership skills.