Add the lime juice and sugar into a cocktail shaker. Swirl around and allow to dissolve for a minute.
Throw in the kiwi and cucumber slices into a cocktail shaker along with the mint. Muddle with a spoon until completely broken down. Add the rum and fill with ice. Cover and shake vigorously for few seconds until chilled. Strain into two glasses (filled with ice) and top each with club soda. Garnish with mint, kiwi slice and lime slice.