Most timing belts are reinforced with kevlar webbing or some other similar non-metallic material.

As for chains, they tend to add more weight into the rotating mass, are noisier, and require a continuous oil bath lubrication method when used in things like cars. That really isn't a problem, but that method is usually used most when regular service of the valve train isn't practical. Chains still stretch, so any time major maintaince is done on the engine they should be replaced since a chain can cause major damage if it were to break. But I suppose that is a moot point on a Honda, since major damage usually occurs with a broken belt as well.

Belts in general though are easier to inspect for damage [visual only], and easier to replace, even though it's required at a more regular interval.