I had a pet rat named Verma for a year. She would sit on my lap and brux her teeth. Sometimes she'd nibble at my hair. I accidentally trained her to tug my on shirt when she wanted to go back to her cage. (She was always nibbling holes in my shirt and I started taking her back to her cage when she did. I miss her. )
Dominance though? Nah, never saw it. I was her slave already.