Appropriate clothing for women to wear during the day on a Caribbean cruise includes sundresses, shorts, skirts, jeans and T-shirts. Dress casually, but not sloppily. Eveningwear floats somewhere between casual and dressy, with dresses and pants suits being the norm. Think business professional when dressing for dinner.
Similar guidelines apply to men for cruise daywear. Casual clothing including polo, sports and T-shirts; khaki pants, jeans and shorts are advised. For dinner and nighttime entertainment, dress it up with a sports jacket and slacks.
Caribbean cruises often have evenings designated as "formal nights." This means business suits and tuxedos for men, and dressy pant suits and cocktail dresses for women.
Some cruise ships have strict dress codes regarding how passengers may and may not dress. Consult with any literature your cruise line sends you for specific guidelines, and be sure to follow them.