HEAT oil in large deep nonstick skillet on medium heat. Add chicken; cook 5 min., stirring frequently.
STIR in rice, broth and milk. Bring to boil. Reduce heat to low; cover. Simmer 5 min., stirring occasionally. (Rice should be creamy looking, not dry.)
ADD spinach, tomatoes and Parmesan cheese; cook 2 to 3 min. or until chicken is cooked through and spinach is wilted, stirring occasionally. Sprinkle with chives.