If it's excitement that causes it giving her an alternative way of expressing it is a great suggestion - clapping hands, doing a little dance or something else that doesn't involve sharp little incisors on your skin This can also work for frustration or anger, as it gives a way of expressing emotion if that's what they're struggling with - everything getting too overwhelming.

The trickier biter is the impulsive "seemed like a good idea at the time" nommer. Because there's usually no trigger or warning that they're going to do it. DD was a bit like this, all I did with her was to hand her a rubber teething ring and walk off. She gave it up pretty quickly because it was boring.