Wow, that's one I've not heard of before. Hmmm, since I've never heard of that happening at work the only advice I can give you is just give your vet a call. Have the toothpaste tube handy in case he/she asks about ingredients in it. They should be able to tell you over the phone if it's something they need to look at or if just flushing the eye and time will take care of it.

Good luck.