I checked this on a test server, and it behaved as follows:
Player A plays Possession on player B. Next turn, A posseses B. But both players don't do anything in that possession turn. After some time, player B (the real one) gets asked if he wants to resign player A.
This seems like the intended behavior: Player A has to make decisions (even though it is formally player B's turn), and since he doesn't make them in time, the other player (B) can make him resign.
So probably something else played a role in the game user11 mentioned. user11, can you find out the game number of that game? I couldn't find "user11" as a game name, so I can't look myself.