Some cocktails have been around so long, they have spawned and re-spawned new recipes. The Beachcomber is on of those cocktails. Search for recipes and you will find many. Here is a simple recipe that I enjoy, named such because it is stripped down and because I enjoy being naked on the beach!
1 1/2 oz white rum
1/2 oz triple sec
1/2 oz fresh lime juice
Combine all ingredients in a shaker half filled with ice. Shake or stir to chill (I prefer to stir 50 times). Strain into a chilled cocktail glass. Garnish with a lime. If you prefer, you can rim the glass with sugar.