If you get accidentally logged out of your game you should be able to re-enter it using these instructions.
There are 2 ways you can do this:
The “recover” menu (for guest games or games created with Google Play/Game Centre) - Tap "log In" when you open the game. Tap the "recover" button. Any games that you have created on your device will be shown and you can select your game. Select the correct account and tap the "OK" button. Your game will now open. If you can't find the correct game please contact Support at: support@runaway.zendesk.com
Through “Facebook” - If your account was connected to Facebook. Tap "log In" when you open the game. Tap the "facebook" button and you will be redirected to Facebook. Then tap "continue" to log into Facebook and finally "Continue" again and your game will open. Please make sure that you are logged into the right Facebook account on your browser and your Facebook App as if you are logged in on another account a new game will be created! If you have any problems please contact Support at: support@runaway.zendesk.com