In a medium bowl, combine the black beans, cherry tomatoes, corn, red onion, cilantro, lime juice, cumin, and a pinch of salt and pepper. Stir gently and set the salsa aside.
Lay four tortillas on a clean surface. Divide the shredded chicken evenly across them, then sprinkle the cheddar cheese on top of the chicken. Place the remaining four tortillas over the fillings to form quesadillas.
Heat 1 tablespoon of olive oil in a large skillet over medium heat. Cook one quesadilla at a time for 2 to 3 minutes per side until the tortilla turns golden and the cheese melts. Add the remaining oil as needed for the rest.
Transfer the cooked quesadillas to a cutting board. Use a bat-shaped cookie cutter to press out shapes from each quesadilla. Serve the bat pieces with the black bean salsa on the side.