Add the shredded chicken, cream cheese, ranch dressing, buffalo sauce, cheddar cheese, and mozzarella cheese to the crock pot.
Stir everything together until well mixed.
Cover and cook on low for 2 to 3 hours, stirring occasionally, until hot and bubbly.
Once melted and creamy, stir again before serving.
Serve warm with tortilla chips, celery sticks, or crackers.