Like guilt tripping, cute tripping is when a a significant other makes you feel bad by acting cute, making you stay on the phone longer or making you do chores you don't wanna do.
BF: OK bae I'm going to hang up the phone now.
GF (In super cute voice): Awww don't leave me...your gonna leave me. Won't you stay with me pweasse?
BF: Hey don't you go Cute Tripping on me!