It means to rob or steal. So watch your shit around someone who finesses. That is their life(their life, their life).

when you're hungover as shit after a spending a night drunk as a skunk

Someone who’s able to finesse, manipulate, or trick others and especially authority into getting what they want. For example a finesser is Jahden Slate. He is god finesser and can’t be finessed because you can’t finesse a finesser

A person who finesses