I sort of set Millie up for failure, because I never really did anything with her nails for her first year of life [except paint them. . .hey, I was 10!], and after that it was seldom because she struggled. And she struggled because she wasn't used to it, and didn't like having her feet touched at all. The nasty circle and all that.
I just finished clipping Millie's nails literally minutes ago, and although she was tense, she let me do it as fast as possible and there was no problem. It's taken many months of intense work teaching her nail clipping does not mean she's getting killed, but we've made a lot of progress.
She's about the same with the dremel as with clippers.