To make dressing, combine vinegar, lemon juice, and lemon pepper in a medium bowl; whisk to blend. Slowly add oil while whisking; mix well. Evenly divide dressing between 4 one-quart Mason jars. Set aside. Evenly layer beans, bell peppers, onion, tomatoes, chicken, cheese, and cilantro on top of dressing in jars. Serve immediately or cover and refrigerate for up to 3 days. Shake before serving.