Hi Guy. To clarify, are you exiting the app by the Menu->Exit Dijit option or just by switching to another app/the home screen? Also, do you have the "Beacon Power Save" mode option enabled in the Dijit settings?
We're looking into this. In the meantime, I've heard that turning Bluetooth off and on or possibly just tapping the Beacon is sufficient to reconnect instead of having to go through the whole repairing process. Let us know your results, as it will help us to track this down.
-- Zach Lipton, Dijit Software Engineer