Yes, the tool you spoke about is called a Pedicure. I checked it out but ....it is also battery operated. Also, the rpms is not very high.
My best investment (after my cordless dremel bit the dust) was the electric dremel with all the attachments.
I can also use it around the house for other uses, woodworking, etc.
Also, my vet switched over from using the standard nail clippers to the dremel.