Preheat a grill to medium-high. Rub chicken breasts with Cajun seasoning. Grill chicken over medium-high heat, turning once until chicken registers 165F degrees on a thermometer, about 10 minutes. Allow chicken to cool slightly, then cut into cubes.
Divide lettuce, chicken, pineapple, and avocado between serving bowls. In a small bowl, combine black beans, pepper, tomato, and cilantro. Season with salt and pepper, then divide mixture between serving bowls.
Make the dressing: In a small bowl, whisk olive oil, lime juice, mustard, syrup, chipotle, paprika, and salt and pepper to taste.
Drizzle dressing over bowls and serve salad. Enjoy!