Fizz can only hop frequently on you if he gets blue buff. Early game he can only hop a few times before he goes completely oom. He's also melee, so you should be able to push him off of farm until his 2nd back at least. He of course will chew on people with no mobility, Zhonya's completely counters his fish if you can't dodge/having real trouble against him.
vicksy & espioe foreber and eber ♥