In large skillet, bring soy sauce and water to a boil. Add chicken. Reduce heat; cover and simmer 5 to 8 minutes or until chicken is no longer pink. Drain; cool 15 minutes.
In medium bowl, combine water chestnuts, carrots, onions and chicken.
In small jar with tight-fitting lid, combine sugar, oil, vinegar and ginger; shake well. Pour over salad; toss to coat. Just before serving, add cabbage and chow mein noodles to salad; toss gently.