POUR 1/4 cup dressing over chicken in shallow dish; turn to coat both sides of each breast. Refrigerate 30 min. to marinate.
HEAT grill to medium heat. Remove chicken from marinade; discard marinade. Grill chicken 6 to 8 min. on each side or until done (165°F). Cut into strips.
COMBINE arugula and romaine; place on platter. Top with artichokes, tomatoes, chicken, remaining dressing, cheese and basil.