Prepare noodles as directed on packet. Drain. Rinse under cold water. Drain again.
Transfer noodles to a large bowl. Add chicken, shallots, carrot, snow peas, bok choy, radishes and coriander. Toss well.
To make dressing, combine all ingredients in a jug. Whisk with a fork until well combined.
To serve, pour dressing over salad. Toss again to coat. Sprinkle with peanuts. Serve with extra lime wedges, if desired.