In a large salad bowl, combine lettuce, spinach, and oranges.
In a small bowl, combine soy sauce, honey, ginger, and 3 Tbsp water, Set sauce aside.
In a wok or large frying pan, heat oil over medium-high heat. Add chicken and stir-fry until barely opaque throughout, about 5 minutes. Add scallions and garlic and cook one minute longer. Add sauce and cook, tossing, for 30 seconds.
Pour chicken and sauce over greens and oranges and toss. Sprinkle cashews on top.