turning off the power saving feature does not seem to work on my galaxy nexus in AirDroid 2. The fact that my screen stays off IS my power saving feature, I want this connection to stay alive 24/7!
I have the same problem on my S3. Once it disconnects, I have to restart my phone to enable the connection again. Killng the app and my browser does not work. I will add that as long as I am active in AirDroid, the connection works even with the screen off. However once I leave AirDroid, even for just a minute or so. Connection is lost.