This is tough. You DO have to jump across.
See that electricity? You want to do the same thing you did in the first screen. Only this time, it's very tricky because you have to run and jump onto the ledge from the first cloud. Make sure you let go of A as soon as you grab onto the ledge, because like on the first screen, holding A while climbing will make you get zapped.
Go right from here.
It'll soon be safe to go back down. You'll know when that time comes. Believe me.