I had a couple removed from my forearms and wasn't given any instructions other than to avoid swimming - I ran, rode etc no worries. Maybe the temple skin is more sensitive than leathery arms?
Maybe if you're worried you could Vaseline it?
Yeah, I've been told I need to Vaseline it three times a day anyway. Figured I should at least not run for the 24hrs that they said not to shower or get it wet. But I'm allowed to shower and wash my hair as normal now (no swimming though) so I would've thought if I Vaseline it before running and wash afterwards it shouldn't get too dirty.