A pet feeding system that includes a dish assembly 20 configured to regulate intake of food by a pet, such as a cat. The dish assembly 20 includes a housing 50 and a cooperating food-dispensing receptacle 70 that dispenses food into a food-receiving chamber 60 within the housing permitting a pet to access food in the chamber 60 through at least one feeder port 55 that only permits a paw of the pet to reach within the housing to get some food, while preventing direct access to the food by the head or muzzle of the pet. A lip 53 is provided adjacent the feeder port that provides an obstacle to free withdrawal of the food out of the feeder port.