1988 Acura Integra Electrical Short / Battery?

I note that my clock stays on after shutting off engine and removing the key. Everyday when I first attempt to use my car - it won't start even though the dash l lights come on and radio and it beeps that I have the key in the ignition. Where can I look for a wire that might be worn or can I just pull a fuse? What else operates on the fuse with the clock? Not to sound stupid, but I'm a lady with limited knowledge about cars beyond simple oil changes and tune-ups. PLEASE HELP! I am disabled and have a pending disability claim and have no income at this point in time so I have to ask a free question. I have a Haynes Repair Manual but can't find anything about the clock or the fuse.