World's Best Hamburgers & Hotdogs at Paw Paw's! Paw Paw's Hamburgers in Chickasha is an old fashioned restaurant that has been family owned and operated for over 40 years. While Paw Paw's also offers sandwiches, steak, salads, hot dogs, corn dogs and chili, the real star of the show are their hamburgers! Get your specialty burger with a basket of perfectly cooked fries, onion rings or tater tots. Paw Paw's Hamburgers also offers fresh liver and onions. The indoor seating area may be small, but this cozy local restaurant will keep you coming back for more!