Place a coupe glass in the freezer for a few minutes until chilled.
Add the gin, green Chartreuse, maraschino liqueur, and fresh lime juice to a cocktail shaker.
Fill the shaker about three-quarters full with ice.
Shake vigorously for 12–15 seconds until the shaker feels very cold in your hands.
Strain the cocktail through a cocktail strainer into the chilled glass.
For an extra-smooth drink, double strain through a fine mesh strainer.
Garnish with a Luxardo cherry or a twist of lime zest.
Serve immediately while cold. The drink should appear pale green with a fresh herbal citrus aroma.