Why do my eyes squeak when i rub them?

Trapped Air: The conjunctival sac is a fairly large area and air can easily get trapped in the cul de sacs and other folds of conjunctiva. Rubbing eyes pops the air out thus the squeaks. Try not to rub your eyes too much it is not good for the cornea. See an eye md and if you have dry eyes, allergic reasons or blepharitis causing rubbing get it treated.

Lacrimal system: You are putting pressure on the tear duct/sac and it is causing a squishing around of air and tears. It's normal.