Preheat the oven to 350F. In a large bowl, combine the shredded chicken, black beans, green chilies, enchilada sauce, and condensed cream of chicken soup
Mix in chopped the cilantro and lime juice
Spoon ¼ cup of the chicken mixture into the bottom of a Dutch oven
Place 3 tortillas on top of the chicken mixture.
Spread ⅓ of the remaining chicken mixture on top of the tortillas, as well as ⅓ of the shredded cheese
Do this twice more ending with chicken mixture and cheese. Bake, covered, for 50-60 mins until the cheese is bubbly and hot.