Cut chicken crosswise into ⅜-inch-wide strips; place in shallow glass dish.
Combine all ingredients and stir until dry ingredients are incorporated.
Pour mixture over chicken; toss to coat well. Cover; marinate in refrigerator at least 30 minutes or up to 2 hours, stirring mixture occasionally.
Soak 8 (10- to 12-inch) skewers 20 minutes in cold water to prevent them from burning; drain. Prepare grill for direct cooking.
Drain chicken; reserve marinade. Weave 3 to 4 chicken strips accordion-style onto each skewer. Brush chicken with reserved marinade. Discard remaining marinade.
Place skewers on grid. Grill skewers on uncovered grill over medium-hot coals 6 to 8 minutes or until chicken is no longer pink, turning halfway through grilling time.