Same problem for me. I did notice that if I go down to about my 5th or 6th game that is waiting for my move, it will allow me to move. I did the restart and reinstall and nothing helped.
June 9 iPhone update broke game
If you need help, please contact our Help and Support team.
Since updating on June 9, running an iphone 4 using ios 4.3.3 I can no longer move pieces when playing chess online. It is my move but when I click on the pieces I can never move them. I have tried restarting, uninstalling the app and reinstalling, nothing works. I can log online in the web browser and make the moves and it updates on the app. What I find is odd is that I also noticed that when it is not my move, it lets me move my opponents pieces, but if I hit submit it gives me an error message saying it is not my turn.