Absinthe Frappe If the smell of anise drives you wild, this is the cocktail to make. A take on a cobbler, the Absinthe Frappe combines absinthe and Anisette. It’s a great tricycle for anyone trying to branch out from the traditional absinthe drip. If you have too many drinks one fateful night, the Absinthe Frappe is also a great hangover cure. It’s a lot easier to take down than aspirin.