I have gained control of my opponent's Lazav, the Multifarious. I activate it's ability targeting the Clone in my graveyard. If the ability resolves, Lazav will die, becoming a 0/0 with no abilities, as it didn't enter, and so is unable to copy anything.
My opponent, in a desperate measure to keep Lazav on the field, casts Dominate with Lazav's ability on the stack targeting Clone. He then proceeds to cast Essence Flux on the Lazav that he now controls, flickering it.
In this scenario, does removing the source of the ability (temporarily) stop it from resolving properly, thus fizzling the ability? Or would his ability resolve, targeting Clone, as Lazav is now back on the field?
Does it work the same as flickering the target of a spell to make it fizzle if you flicker the source of an activated ability in this manner?
Additionally, would the ability fizzle because Clone is now no longer in the graveyard of Lazav's controller, or does it only check the location of the Clone relative to who controlled Lazav when the ability was activated?