My kitten Mickey is addicted to cheese and will not stop meowing until we feed him. We give him about a handful a day. Is that healthy for a one-year-old cat?
While kittens generally can handle dairy products, adult cats usually can't. Feeding cats dairy products can lead to digestive issues resulting in diarrhea or vomiting.
Simply stopping giving into the kittens demands would most likely stop this behavior as the cat will learn that their meowing doesn't result in a reward.
Backing information on dairy and cats: Human Foods that are Dangerous for Cats (petmd.com)
Cheese contains lots of fat, which is a tasty treat for a cat, but it should really be just a treat. I think you probably want to reduce that quantity a bit, maybe to a fifth of that and make it a more special snack instead and look for alternate treats, such as hard treats that will keep his teeth in good shape.