There's no audio alarm for reminder to view messages/calls pending, but it does have the GREEN LED light that blinks on the top right of the screen.
I kind of miss the beep on my DARE when messages/calls pending, but i guess as a battery saver for long unattended phones, the light works out to be a better indicator.
I know people who've left there phone unattended because they were at the GYM, SWIMMING, MEETINGS, or sleeping, and found upon retrieving their phone the battery was dead or close to being dead.
I don't think its an issue as much as a pet peeve to individuals, people need to change their CELL PHONE HABITS when using The DROID, Hey Look At Your Phone! now you have to be attentive. check the market... there may be a reminder app.