Place the chicken breasts in a ziptop bag or a non-reactive container and cover with ¼ cup Sesame Ginger Dressing. Return to refrigeration to marinate overnight, or at least 2 hours.
Preheat oven to 350° F. Place chicken on a foil-lined baking sheet and cook for 20 – 25 minutes, or until chicken is cooked through. Remove from heat and allow to rest and cool before slicing.
Bring a large pot of salted water to a rapid boil, and cook asparagus for 1 minute, just until tender-crisp and bright green. Transfer immediately to a container of ice water to rapidly cool the asparagus. Once completely cooled, remove from ice bath and drain thoroughly.
Combine lettuce, cucumber, asparagus, orange slices and 1 Tablespoon of the reserved orange liquid in a large bowl. Season lightly with salt and pepper and dress with Sesame Ginger Dressing. Toss gently to coat evenly, then divide among four plates. Top with sliced chicken and orange segments.