In a small bowl, stir together mayonnaise, lime juice, and chipotle chiles in adobo sauce. Set aside.
In a medium bowl, combine chicken, celery, cilantro, green onions, yellow pepper, red pepper, salt, and pepper. Pour dressing over chicken mixture; toss to coat. Cover; chill in the refrigerator for 1 to 4 hours.
Serve Salad on or in tortilla salad cups, shredded lettuce, tostada shells, tortilla chips, or flour tortillas. Makes 4 main-dish servings.