Logged in with two characters so far that had logged out on New Romulus (one then the other). After doing what needed doing there on the planet, when I try to beam to my ship in orbit, there is a problem. The game goes into the loading screen and the counter in the upper right clicks over one number at a time. At around 2507 or so, it kicks me offline.
EDIT (12/04/12): Seems to be working now. Two characters 'escaped' so far... : )