Unless you agree to "share" the time between takeoff and touchdown, there's nothing he can log. If you were P1 in a single-crew aircraft, that's it.
When I do my FAA IR "currency" flights, I get a friend with an IMC to be safety pilot while I bimble around under the hood. I have to record his name etc in my log, but he doesn't get to log any of the time. He doesn't "need" hours, so doesn't care.