Coconut-Lime Shaved Ice 2 cups sugar1/2 cup water 1/3 cup lime juice Zest of 2 limes Cream of coconut, to drizzle In a small saucepan over medium heat, combine the sugar, water, lime juice and lime zest. Heat, stirring until the sugar dissolves, about 3 to 4 minutes. Remove from the heat and allow the mixture to cool completely.