Nimble Quest data is only stored locally and is only on your device while the app is installed. Removing the app deletes all game data. If your game is lost:
For iOS devices: You can restore it from a recent iTunes or iCloud device backup. Please see Apple's guide on backups for more information on restoring. http://support.apple.com/kb/ht1766
To recover lost purchases please see the following article: http://j.mp/1bneRwP