In a bowl mix everything but the chicken together. This will be your marinade for the chicken.
Cut the chicken breasts in half, horizontally, and then pound them to an even thickness of about a half inch thick. Place them in the marinade, while your grill pan heats up.
Grill the breasts on a grill pan, on medium heat, until cooked through. Put them back in the refrigerate until you're ready to assemble the salad.
Chop the chicken into bite sized pieces before tossing with the rest of the salad ingredients.
For the Lime Dressing:
Shake all the ingredients until well combined, in a small jar.
To assemble the Chopped Salad:
Toss all the vegetables, chicken, and peanuts in a large bowl. Pour the dressing over everything and toss until everything is well coated with the dressing.