Eating options are pretty limited in Pisté but improve somewhat if you have a car and can get to and from the large hotels.
The newly remodeled 
Restaurante Las Mestizas (Calle 15 s/n, tel. 985/851-0069, 7:30 a.m.–10:30 p.m. daily, US$2.50–8) is without a doubt the best place to eat in Pisté, with an airy, colonial-style interior and tasty, good-sized portions. The food is classic Yucatecan fare, from panuchos to pollo pibil. Service is exceptional.
True to its name, Restaurante y Pizzería Mr. Pizzas (Calle 15 s/n, tel. 985/851-0079, 2–11 p.m. Tue.–Sun., US$6–11) serves mostly pizza, plus hamburgers and other items. The dining room is appealing—not fancy but clean—and the service is good.
Set in a 16th-century hacienda, the Hacienda Chichén Resort’s restaurant (Zona Hotelera, tel. 999/920-8407, 7 a.m.– 10 p.m. daily, US$10–16) is a relaxing place to eat after a long day at the ruins. The menu is varied—Yucatecan specialties, pastas, sandwiches, and on the occasional evening, a trio plays regional music.
Although often inundated by day-trippers from Club Med Cancún, the restaurant at the Club Med Villas Chichén Itzá (Zona Hotelera, Carr. Mérida-Valladolid Km. 120, tel. 985/856-6000, 7:30 a.m.–10 p.m. daily, US$6–16) is a good option. With an international menu, indoor and outdoor seating, and a lunch buffet, there’s something for everyone.
If you can stand the tour groups, the lunch buffet at Hotel and Bungalows Mayaland (Zona Hotelera, Carr. Mérida-Valladolid Km. 120, tel. 985/851-0100, noon–3 p.m. daily, US$14.50) is a good choice. With its variety of hot and cold dishes, you definitely will find something to fill you up. Live music, ballet folklórico shows, and outdoor seating are nice touches.
For groceries, Abarrotes Alba (Calle 15 s/n, 50 m/164 ft east of the plaza, 6 a.m.–10 p.m. daily) has a decent selection of fresh fruit, canned goods, drinks, and toiletries.