What is the purpose of jumping?

Jumping is only there for fun. It does not increase movement speed, dodge abilities, jump over minions, etc.

In fact some would say jumping is bad because you are silenced (unable to do anything) while jumping.

It does make wandering around the jungle and getting to your lane slightly more entertaining. I mean who wouldn't laugh at Hades hopping around like a bunny on crack?

if u get stunned whilst in mid air from jumping you carry on going in that direction until you land