I have had a few "not responding" errors which required force closing so far :/ Not imported or created a wallet yet either which is not terribly confidence-inspiring...
How do I run this .app with debug flags (I knew how to do that on Ubuntu from terminal but this app on OSX I am not sure how to set those flags as I run it) then I can perhaps upload some logs... I think it is somethign to do with applescripts, but Im pretty new to OSX.
It did sync overnight no problem (not sure how long it took though).
It should automatically put the logfile in your armory directory. There is also a menu item to export the logfile in the armory app itself.