That's goddamned ridiculous.
Now, I kinda see the point from Kiffin's perspective... He's asking LSU:
"How much do you really want me? If I stay just another couple of weeks I might be in line for some pretty massive payouts. If you really want me, you'll compensate me for forgoing that."
But to write it into the contract in a way that gives him exactly the same amount of money, contingent on the same outcomes, for which he is no longer involved? That's BS. Negotiate out some signing bonus or whatever that makes him whole for what he's giving up but without actually making it LOOK like you're making him whole for what he's giving up.