In a medium bowl, stir together cucumber, red bell pepper, avocado, lime juice, honey and cilantro. Set aside.
The Chicken:
Preheat broiler and set the oven rack in the upper third of the oven.. Line a baking sheet with foil and place a wire rack on top of the foil. Lightly coat the rack with cooking spray.
In a small bowl, stir together ancho chile pepper, cumin, lime zest, salt and pepper. Add chicken thighs and toss to coat. Space the chicken thighs evenly on the wire rack. Place the chicken under the broiler and cook until the chicken is just cooked through, 4 to 5 minutes per side.