In a small sauce pan, bring water and honey to a boil. Stir until the honey is dissolved. Keep an eye on it, the simple syrup will bubble up as soon as it starts boiling. Pour the warm simple syrup into a glass container and add the sprigs of thyme to steep. Transfer to the fridge to cool.
In a martini shaker, combine all the cocktail ingredients with ice and shake until cold. Strain into a martini glass. Garnish with a sprig of thyme.