Unfortunately, there is no cure for curiosity. Distraction and physical blockades seem to be the only recourse for this annoying to very dangerous ferret characteristic. When bringing home a ferret kit or even a rescue or adopted ferret, make sure they are current on all their shots. How often these things are done depend on how often it appears they NEED to be done. If your ferret is sticking to your sweater and needs to be rescued by snipping a piece of the sweater off, it is time for a nail trim.
Teeth cleaning is a bit controversial.
Supposedly, kibble helps keep ferret teeth clean by the physical scraping action on the teeth during chewing, but that is anecdotal at best. Our Basil kept getting scab - like formations on and around his neck area. We noticed that he has been scratching in that area more than usual, so attributed it to digging to deeply with his nails. It is a dirty job, but one that must be done. That means A LOT of food being eaten, processed, and the waste excreted.