Preheat oven to 400°.
To prepare dippers, place each chicken breast half between 2 sheets of heavy-duty plastic wrap, and flatten to a 1/2-inch thickness using a meat mallet or rolling pin. Place the chicken on a baking sheet coated with cooking spray. Brush with 2 tablespoons wing sauce. Bake at 400° for 5 minutes. Turn chicken over, and brush with 2 tablespoons wing sauce. Bake an additional 5 minutes or until done. Cut chicken into 1-inch pieces.
Cook the beans in boiling water for 1 minute or until crisp-tender; drain. Rinse with cold water; drain well. Place beans on a platter with carrot, celery, bell pepper, and bread; set aside.
To prepare the fondue, combine the blue cheese and the cornstarch in a large saucepan. Stir in wine, milk, and cream cheese. Bring to a boil over medium heat; cook for 1 minute, stirring constantly. Reduce heat to medium-low; cook 8 minutes or until mixture is smooth, stirring frequently. Pour into a fondue pot. Keep warm over low flame. Serve with dippers.