Mickey(Chevy) did that, but more with the other cats than with the humans.
It should get better after time. HE will learn that there is no real reason to be so possesive. Just work on proving to him that you will not take it away. Pet him (if you can) while he eats and then walk away. Never take the food away because that his what he fears.
Even though it is a bad habit, it IS cute, isn't it?