No the head will grow a new body and the body will grow a new head and you'll have two Wolverines.
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"The Daemon lied with every breath. It could not help itself but to deceive and dismay, to riddle and ruin. The more we conversed, the closer I drew to one singularly ineluctable fact: I would gain no wisdom here."
Both with full Adamantium, and they'll finish each others sentences, and address everybody as Bub....even while bumping uglies.
Seriously though, I don't see why not. His Healing Factor is obviously throughout his body and not his brain as he's made it perfectly clear that he just heals, no matter what, even if he doesn't want to or wills himself not to. It might take a while, but I don't see it out of the realm of possibility for his head to have a reunion with his neck.
I doubt it. He's regarded as one of Marvel's most powerful Healers, along with people like Deadpool. He'd more than likely survive. He is f*cking Wolverine after all.
Resulting in a situation where only the combined powers of the Wizard Yinsed and Mickey Mouse could kill him!
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__________________ Land of the free, home of the brave...
Do you think we will ever be saved?
In this land of dreams find myself sober...
Wonder when will it'll all be over...
Living in a void when the void grows colder...
Wonder when it'll all be over?
Will you be laughing when it's over?