Caribbean and Bahamas Coconut Swizzle Cocktail Recipe Coconut Swizzle Cocktail | Steve Simonsen By Islands Staff Feb. 9, 2011 SERVES 1 1 shot of coconut rum Rose's lime cordial to taste A spritz of both club soda and Sprite 1. Combine in a highball glass filled with ice. Stir and garnish with a lime wedge.