2gb Clip shows "Connected" even when connected directly to outlet, and won't charge!

Rev 1.29A

Was working fine for a long time.  Then I ran the Clip’s battery down to the point where it automatically shut off.  Now, even when I plug the Clip into a AC-USB charger, it will charge for a few seconds, then show “Connected” and stop charging.

Updated firmware to 1.01.32, and still have the same problem.  Sometimes it charges (and doesn’t show ‘Connected’), other times it won’t charge (and shows ‘Connected’).