Our "Dive N Stay" packages include a rental car from Avis, which is collected at the airport after clearing customs at GCM, Owen Roberts International Airport in Grand Cayman.
However, if you really prefer not to drive while in the Cayman Islands, more information on Taxis from the Airport can be read here:-
https://www.caymanairports.com/customer-service/ground-transportation-overview/taxi-services/
The on-site restaurant, Eagle Ray's Bar & Grill, is open for breakfast, lunch and dinner. Once at Compass Point, there are no reliable transportation options available, such as a taxi service other than pre-booked airport transfers.