I use my drill for that. Thins & cleans. You can also, tell your client to use false teeth cleaner & even toothpaste. I also use the buffer bands,they fit on the end of plastic pusher,or a pencil. I give these to my ladys to clean at home.
Nail Brite is a tried and tested product that has been around for years and it is a professional product. Kind of like a soft abrasive lemon-scented cream that is sold with a cute nail brush specifically for the job. I for one do not like the idea of suggesting a 'dental' cleanser to clean nails.
For one it is not very effective and it is time consuming,
number 2 it does not seem to me to be a profesional solution to the pproblem,
number 3 Nail Brite is a salon retail item that works, and it adds to your salon profits.
For cleaning under I use my e-file, but for home use i recommend Bubble White used with a nail brush, its sounds like it is similiar to the Nail Brite that Geeg mentioned... Scented eppervesent granules, placed in water it bubbles up and the client soaks in it for a couple of minutes
I have a client who's old tech suggested she soak her nails in Demestos, a bleach based toilet cleaner....oooooooh ukeoff: