Combine first four ingredients in a small bowl, stirring with a whisk.

Heat a large skillet over medium high heat. Add oil to pan; Swirl to coat. Add garlic and ginger to pan; Sauté 30 seconds. Add soy sauce mixture and coleslaw; cook 1 minute stirring frequently. Add chicken and 1/4 cup green onions to pan; Cook one minute or until coleslaw just begins to wilt.

Divide chicken mixture evenly among lettuce leaves; Sprinkle evenly with remaining 1/4 cup onions and cashews.