To a mixing bowl add the key lime zest, juice salt, garlic, rosemary, honey and oil. Whisk well to combine.
Add the shrimp to a bowl and pour over ½ of the marinade, cover and refrigerate for 20 minutes. Preheat the grill.
Thread the shrimp onto skewers and grill for no more than 5 minutes on the first side then turn and cook for 2 minutes. Serve immediately with the rest of the marinade for dipping.