Fizz Q delays CC until the end of it
This breaks displacements and probably knockdown effects too (jinx traps are the only spell that I can think of with a knockdown effect)
Fizz can Q straight through Gragas E without being displaced, and the stun portion of Gragas E only applies after he stops moving
He can apparently buffer spells like E while dashing, and cast them while the CC should be in place. He can also flash in the middle of his Q after being hit by CC.