Make the chamomile syrup: combine sugar, honey and water in a small saucepan and set over medium heat. Bring to a simmer and cook until the sugar has dissolved. Remove from heat and add the chamomile tea bags; steep for about 10 minutes, then discard tea bags. Let the syrup cool and then transfer to an airtight container and chill until ready to use.

To make the cocktail, combine gin, lemon juice, and chamomile honey syrup in a cocktail shaker over ice. Shake vigorously and then strain into a chilled coupe.