I love shopping, thats why I try not to spend too much on other stuff!
Here are some sudgestions.
Wine Down Restaurant & Gourmet Market
There are also many different shops.
Feel free to visit http://www.governorssquarecayman.com/html/shopping.html for more info about this location.
There was more than I could write about Camana Bay, but I'll let you discover it by yourself at http://www.camanabay.com/the-town/shop/
There are great shops, food, competitions and much more!
Here are it's opening hours:
Mon–Wed & Fri: 9.30am–6pm
to find out more facts about this location visit http://www.edenshopping.co.uk/opening-hours/