Cut chicken into bite-size chunks. Marinate in ginger, red pepper, garlic and 2 tablespoons soy sauce.
Cook chicken in skillet with 2 tablespoons oil until tender. Add pea pods, mushrooms and stir fry for 5 minutes. Add chestnuts, cabbage and bean sprouts.
In small bowl whisk vinegar, sugar, dry mustard, 1/4 cup oil and 2 tablespoons soy sauce. Add to chicken mixture. Can be served with rice.