An additional note:

The way I would do it is if you are playing, and the opponent had only 1 move (or pass) to do - then you can then play your next move (and so on and so on) until the other player can move.

Then when the other player goes to the game, they will see a note: "Because of automatic moves, your opponent moved XX times. Would you like to go through each move or go strait to current move?"

That way for inexperianced players can go through all the moves to see what happened, and others can just skip what they know is going to happen and start playing more quickly!