Hairdressers seem to do it the most with their ”Curl Up And Dye”, “One Step Ahead”, “Barber Blacksheep" and associated pun-filled shop names, but there are other examples of the genre in other fields, for example the "Burger Off" fast food outlet, "Thai Me Up" Thai restaurant, "Just The Plaice" chip shop or "Kincheap Shop" discount outlet.
The pun-name usually provides a modicum of amusement the very first time you see it, but very quickly loses its appeal and becomes irritating more than anything else.
Nevertheless, imagine every business did it? Say the “One Foot In the Grave" undertaker, "Your Face or Mine?" cosmetic surgery or "Hell Is Other People" accident and emergency department.