Place chicken in a pot of simmering water and cook for 12-15 minutes until internal temperature reaches 165°F (74°C).
Remove chicken from water, let cool slightly, and shred using two forks.
In a small bowl, whisk together lime juice, olive oil, honey, minced garlic, salt, and black pepper to create the dressing.
In a large mixing bowl, combine the shredded chicken, julienned mango, sliced red bell pepper, and red onion.
Pour the dressing over the chicken and mango mixture; toss gently to coat.
Fold in the fresh cilantro.
Serve immediately over a bed of mixed greens or shredded cabbage.