I know it's possible, but although I main Wukong I've never been able to do it properly.
You cannot drop the aggro once you've gained it since the turret has True Vision and you become stealthed with your W and not Untargetable.
Your clone works pretty much like a Mordekaiser Ghost or a Shaco clone. It counts as a champion but also as a pet which puts it pretty high on the priority list of turrets.
The only way to get the turret to focus your clone is by using the ability right before the last of your minions dies. Also keep in mind that any damage to a champion before or after you cast your spell will let the turret focus you again which requires walking out of range in order to drop aggro.
You also used to be able to accomplish this by timing flash between turret shots such that the turret would be unable to target you, and thus, target your clone instead (or another nearby creep/champion).
You can see an example of this in action:Around the 0:15 mark, Cassiopiea flashes, which causes the turret to fire at Nunu instead (just imagine 2 Wukongs, rather than Nunu/Cass).
This "bug" was fixed around the time the new season started though.