If you would like to make an aioli dipping sauce for the chicken, remove 2 tablespoons of the marinade before mixing it with the chicken and combine it with 3/4 cup mayonnaise. Refrigerate until ready to use.
MAKE AHEAD: The lemon-garlic paste can be made up to 3 days ahead and refrigerated. The chicken should marinate for at least an hour or as long as overnight.
4 to 6 servings