Question

If a Pokemon with Trace traces Regenerator, then swithces, will it get healed?

Answer 1

Yes, that is kind of the point of Trace :P

Smogon mentions using Trace to copy Regenerator quite often, so I doubt they would post it if it couldn't be done.

Comments

But... doesn't the ability get cancelled when you switch?

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B3N you beat me to it. BTW INom yes.

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Not until after you switch