Poach the chicken over low to medium-low heat, in just enough water to cover, seasoned with salt and pepper.
Meanwhile, combine the dressing ingredients and set dressing aside to intensify in flavor.
When the chicken is fully cooked, shred it into bit sized pieces.
Return the shredded chicken to the poaching liquid.
Prep and slice the salad ingredients.
Drain the shredded chicken well.
In a large mixing bowl, combine the chicken and the other salad ingredients.
Pour the dressing and toss several times.
Let the dressed salad sit for 2-5 minutes.
Transfer to a serving platter.
Squeeze fresh lime juice on individual portions.