In a small bowl, mix all the marinade ingredients together.
Place the cubed chicken into a flat, sealable container or pour the marinade over the chicken. Mix the chicken with the marinade to be sure all the pieces are well-coated.
Cover the container and let marinate in the refrigerator for at least 4 hours, up to overnight.
Preheat your grill to a medium heat, roughly 350F. (You should be able to hold your hand about 3 inches from the cooking grate for 5-7 seconds.)
Thread the chicken pieces onto the soaked skewers, pressing the pieces up against each other.
Grill the chicken skewers for 8-10 minutes a side, until the chicken is firm and golden.
Serve the shish tawook with pita bread (get our pita bread recipe here) and sliced tomatoes or with rice and grilled veggies.