Paint one side of a tall, narrow glass with honey, then roll it in shredded coconut.

In a cocktail shaker, combine the carrot juice, pineapple juice, and ginger liqueur and shake with ice.

Fill the serving glass with ice, then strain the cocktail into the glass.

Gently float the dark rum over the cocktail.

Garnish with a long, thin carrot for stirring the layers together.