Snips’ dad has a barber-pole cutie mark. And given their car ends up looking like one, I suspect he’s a barber in town.
 
Note his hair’s a mess; there’s a logic puzzle that if you go to a town with only two barbers, and one has immaculate hair and the other has terrible hair, you go to the second one since the first barber’s cut was likely done by that one. Same concept here: he’s probably a great barber, but the only other one in town that does stallion cuts is terrible (and perhaps its Snips?)