Meanwhile, heat grill to medium heat. Thread chicken onto 4 skewers. Grill 6 to 8 min. or until done, turning occasionally. Add bread to grill; cook 1 min. on each side or until toasted on both sides. Rub toast with garlic; brush with oil.
Arrange toast and lettuce on platter; drizzle with remaining dressing. Top with chicken skewers and Parmesan.