Yep, sounds normal. My chin (and cat) groom the spot where I pet them afterwards a lot of the time, as in they were offended that I messed up their fur. I'm like jeez, sorry for trying to be affectionate. Haha.
Chins also scratch themselves with their back legs like dogs and lick/bite their fur like cats (ok, lots of animals do those things I just think people notice it more in those animals so it's a good metaphor) to groom.
The trick is to make sure they aren't doing it too much. I don't know what quantifies as too much, though. My chins scratches herself multiple times a day. I guess you would look for red, dry skin and excessive itching like every few moments all day.