In a large ziplock bag combine all ingredients for the mojito marinade, add chicken thighs, close the bag and make sure all chicken pieces are evenly coated. Alternatively this could be down in a large bowl.Marinade in the fridge for 3 hours or overnight, turn the bag over once an hour if possible.
Preheat the grill and put the chicken thighs skin side down on the grill, cook on one side for 10-15 minutes depending on the size, then turn over and cook for 5-10 minutes longer.
Mix the minced garlic, chopped mint and lime juice in a small bowl. Brush grilled chicken thighs with the mojito salsa as soon as they are done.