Yeah... it works fine when its on the charger and you DON'T push standby.
Grrr... you'd think they'd get it right after the 6700 had the same exact issue.
EDIT: It also seems that if the phone goes into standby on its own, not on the charger, the alarm will go off.
So basically, don't force the phone into standby if you want to wake up in the AM
