Add rum, lemon juice, orange juice, and honey syrup into a cocktail shaker.
Fill the shaker with ice cubes.
Shake hard for 10–12 seconds until well chilled.
Fine strain into a chilled coupe glass.
Garnish with a mint leaf floated on the surface of the cocktail, or peg a honeysuckle flower to the rim if available.
Using a rich honey syrup (3:1 honey to water by weight) rather than a standard 1:1 simple syrup preserves the aromatic complexity of the honey without watering down its character - a thinner syrup will taste flat by comparison.
My Bar Shelf reads your shelf and shows you every cocktail you can make from what you already own, including Honeysuckle Daiquiri.