If you think of it, put your martini glass in the freezer 30 minutes before making. Add clean ice to a tall mixing glass or cocktail shaker. Pour ingredients over the top of ice.
Stir beverage with a spoon about 30 times, or shake in cocktail shaker for 30 seconds.
Strain into martini glass, garnish with fresh dill and dill pickle slice, mini gherkin, or cornichon.