In a mixing glass, muddle 2 tbsp of chopped fresh apricot. Top with ice. Add remaining ingredients. Stir for 15 seconds. Strain into ice-filled rocks glass. Garnish with a slice of fresh apricot.
To create sugar band on the side of the glass, drizzle the outside of the glass in honey. Combine sugar and zest of half a lime on a plate. Dip the honey-covered portion of the glass in the sugar and lime zest mixture.