Stir together all the chicken skewer ingredients (except the chicken), add the chicken. Cover and refrigerate for 1 hour and up to 24.
Preheat the grill to medium high.
Thread the chicken through skewers. Add the chicken skewers to the grill, cooking on both sides until cooked through, about 5 minutes per side.
Stir together the satay sauce ingredients.
Serve the chicken alongside the satay sauce.