He usually only sends out the electric orbs once per round before sending out the eye blasts that you need to reflect.
So the trick is, have Link ALMOST ready to be cloned when he sends out the orbs, keep the button held down as you move to dodge them without stepping on the final square, and THEN quickly step on the final square to clone Link. If you pull this off, you probably won't have to worry about any more orbs until the next set of eye blasts. If you should fail to reflect all the incoming eye blasts, you'll probably have to start the process over (you may even want to cancel your clones as soon as you see orbs so you can get started charging up your next set faster).
The first time you try this, it's easy to accidentally dodge the eye blasts and clone just in time for the orbs. After you recover from that once or twice, you usually get into the right "cycle."
Sometimes he DOES send out two volleys of orbs, or two volleys of blasts, but it's improbable, and he'll eventually fall into this pattern on the average round.