Originally Posted by borisb

I got a useful tip back from enTourage Tech Support. To improve the likelihood that the eDGe goes to sleep when you close it, ensure you're at the home screen on the LCD side (just press the Home button on the bezel).

Apparently having a third party app up on the LCD side can prevent the eDGe from going to sleep - this isn't the case when it's the home screen because the Android OS is more easily able to suspend any app running in the background.