COOK noodles as directed on package, omitting salt.
MEANWHILE, mix dressing and lemon zest until blended. Heat 1/4 cup of the dressing mixture in large nonstick skillet on medium heat. Add chicken; cook 7 to 8 min. on each side or until done (165ºF). Remove chicken from skillet; cover to keep warm.
ADD vegetables and remaining dressing mixture to skillet; cook 5 min. or until vegetables are crisp-tender, stirring occasionally.
DRAIN noodles. Serve topped with chicken, vegetable mixture and cheese.