Chill two cocktail glasses (I used coupe glasses).
Add 4 kiwi slices along with the superfine sugar to a shaker and muddle until the sugar is dissolved.
Add the lime juice, Chartreuse and rum to the shaker, and fill with ice.
Shake until chilled, about 15-20 shakes.
Strain into the cocktail glasses. If you want less fruit pulp, you can double strain it through a fine mesh strainer as you pour it into the glass.
Garnish with kiwi slices.
Notes
You can substitute allulose or erythritol for the superfine sugar.
If you don't have superfine sugar, you can blitz some regular granulated sugar in a spice grinder or food processor. Or, you can use ½ ounce of simple syrup instead.
If you don't have either green or yellow Chartreuse, you can try using Dolin Genepy or Strega.
If you're not a fan of the herbal flavor, but want the green color, try using Midori melon liqueur instead. You may need to omit the sugar if you do, since Midori is very sweet.