Your Honda will run well until the belt breaks, and then the engine will be toast. I knew somebody with a Prelude whose timing belt broke at 87k while waiting to get into work. Since the dealer had told her to wait till the car had 90k before changing the belt, they stepped up and paid for all the engine repairs which were considerable. The car was only 4 or 5 years old at the time. Age is just as important as miles for a timing belt. I think the dealer is actually doing you a service in this case.
Ed B.