If it's only chipped, and not actually a crack forming, I'd think that you'd be able to just add a little bit of trim over the very edge. The glass doesn't tend to get too hot over on the sides, but there'd be a good chance of taking a hot pan, and it coming into contact, so you'd want something that could take heat (so not most plastics). It's possible that they'd sell it at home improvement type stores ... I hate that little gap between my stove and my counter, as something always falls in there and you have to go fish it out.
If it's started cracking, I'd actually think about getting one of those glue & vaccuum kits they use for repairing car windshields, where you use a vacuum to try to force the glue into the crack, let it cure, and then scrape off any surface residue. I'm guessing they use CA glue (cyanoacrylate, aka "super glue"), but I don't know how thick -- the thicker ones have a longer cure time, but they won't penetrate as well due to capillary action. You'd want to check to make sure that it's a CA mix that's rated for use on glass. (pure CAs don't stick well to glass)