"To limit the fat" means to reduce or control the amount of fat or fatty foods consumed in order to be healthy and maintain a balanced diet. Full definition
Unless you're on a ketogenic diet, limit your fat intake in the evening. (fitnessandpower.com)
I prefer to limit the fat in a recipe, and I didn't have some ingredients on hand, but it still turned out amazing! (epicurious.com)
This will give them the necessary energy and building blocks to repair the damaged muscle tissue and recover properly while limiting fat gain. (fitnessandpower.com)