Working on a recent AIR project , i had the need to log activities of the user on my application and have it mailed to me for debugging the application remotely. You can setup your own php/asp/jsp gateway via remoting or URLLoader method and have your AIR application mail to log file to you. Am posting my log file though to help you get started with it. Please do feel free to post bugs/requests/comments on this if you feel.
Download Logger Class Source: Here