Women took ship-booked sightseeing and shopping excursion. It turned out to be very long and had no built in food or potty stops. They left it early and came back by taxi.
I roamed the shopping areas around the port for a couple of hours. You can find almost anything you don't want or need in Cozumel.
Highly recommend outdoor jerk shack. Bear right at harbor for two blocks, cross over street and go half a block inland.