If they've been doing this for less than one week, it's also possible they're on vacation and uncertain when they'll be able to play their next move. Have you asked them why they keep changing their vacation status?
Erik talked about requiring a minimum vacation time of 48 hours. I think when that's implemented, that will resolve your concerns.
Is it considered abuse to go on vacation 4/5 times per week as someone I'm currently playing does? This person is playing a lot of games and propably doesn't have the time to make all his moves, but it still is pretty annoying.