Interesting! I worked in an Indian food truck - owned by an Indian family - in Tucson, and we had "chili chicken" (with that spelling) on the menu. I wonder if they spelled it differently at some point.
In India, chili chicken (probably spelled chilli chicken) is an Indianised-Chinese dry starter or appetizer kind of dish, of small pieces of chicken stir-fried with a tangy dry coating / sauce that includes ginger, garlic and red chillies. You can get vegetarian versions too, like paneer chilli. That coating / sauce is really good. It has tiny solid bits and pieces of ginger and garlic which adds to the taste.
You get it in (Indian) Chinese or multi-cuisine restaurants.