When I depart the USVI for the BVI I don't clear out as the BVI doesn't require a zarpe when arriving from the USVI. But when I sail to Antigua or St. Martin from the USVI I'll always head into the Cruz Bay immigration office and get my outbound clearance from them. They don't actually enter anything into the computers, just put their stamp on the form. I do this because those countries want outbound clearance and I am very, very surprised that the previous poster was able to clear into Antigua without outbound papers, as those officials are quite bureaucratic.