Place the lime peel and ginger slices in a short tumbler.
Add half of the cognac.
Lightly press the lime and ginger 2 or 3 times using a muddler or the back of a spoon.
Fill the glass halfway with ice.
Stir for 5 seconds.
Add the remaining cognac, club soda and cucumber peel.
Stir for another 5 seconds.