In a small bowl, whisk together all of the ingredients (except chicken) to make the glaze; reserve ¼ cup. Add the meat to the remaining glaze, cover, and refrigerate for at least 30 minutes and up to 4 hours.
Prepare grill to 375-400 degrees F. Thread meat onto skewers and grill the meat, 3-4 minutes per side, turning three times and brushing with the reserved glaze. Serve hot.