Warmog's suggestion: Grey Health
Problem: Warmog's invalidates poke.
Solution: Don't let Warmog's heal all the poke damage.
Implementation: Grey health is the perfect concept here. Yes, it steps on TK's toes a bit, but I think it's a much healthier way to make Warmog's work. Instead of healing you back to full, just allow it to heal 50% (# subject to balance) of that damage back, indicated by the grey health bar.
Not a solution they would be willing to do before worlds, probably, but something that might make the item better balanced for future seasons.