If you mean the airport, there were at least two liquor stores, Churchill's Cigars, and Tortuga open when I left the island about 2 weeks ago. But the prices for everything I was interested in were higher than what I pay in the states. Also, you can purchase Cayman distillery products at a table they have set up in the departure lounge, for less than you can buy them at their distillery. A good deal. But be aware that even though you are purchasing them post security and can get on the plane with them in Cayman, if you are connecting and have to leave the secure area before getting your connecting flight, you will not be able to bring the bottles through security. This happened to me last year - had to check my backpack with a bottle of rum in it and pray it made it in one piece (which fortunately it did).