1. In a small bowl, combine mayonnaise, cilantro, and lime juice and stir to combine.
2. In a large bowl, combine chicken, beans, and mango and stir.
3. To assemble burritos, spread each tortilla with a heaping tablespoon of mayonnaise mixture, leaving a quarter-inch border around the edge. Place about one-third cup chicken mixture in the center of each tortilla. Tuck in the sides and then wrap and roll the tortillas.