Grease a 13x9-inch glass baking dish and place 12 Rhodes white dinner rolls inside. Cover the rolls with greased plastic wrap, and allow rolls to thaw to room temperature. Cut each roll in half with scissors. Place the cut side up; this helps the coconut lime sugar mixture stick to the rolls better.
Place sugar, sweetened coconut flakes, and the zest of 2 limes in a food processor. Pulse until combined.
Melt 3 Tablespoon of butter; pour it over the top of the cut rolls, then sprinkle the coconut lime sugar on top.
Cover the rolls with greased plastic wrap and allow rolls to rise until puffy and touching each other.
Remove plastic wrap. Bake at 350 degrees Fahrenheit for 20 to 25 minutes or until golden brown.
Meanwhile, prepare glaze by combining 3/4 cup powdered sugar with 1 1/2 Tablespoon fresh lime juice; about 1 lime.
Drizzle glaze over rolls and enjoy warm!