In a large bowl, mix the honey teriyaki sauce and wine.
Place chicken in the bowl, and coat with the marinade. Cover, and marinate in the refrigerator at least 1 hour (it is best if you can marinate overnight).
Preheat oven to 375 degrees F (190 degrees C).
Discard marinade, and arrange chicken breasts in a baking dish.
Bake 15 minutes in the preheated oven, until almost done.
Place the asparagus in a pot fitted with a steamer basket over 1 inch of boiling water, and steam 5 minutes, until tender.
Place 4 asparagus spears on each chicken breast, and top each breast with a slice of Swiss cheese. Return to oven, and continue baking 10 minutes, or until cheese is melted and chicken juices run clear.
