For six years I've asked for a gluten-free bun every time I went to Chick-fil-A. I already knew they didn't have them, but I was trying to create a demand. They just started using gluten-free buns last week and I tried it today. Not the best gluten-free bun I've ever had, but I'm happy with it.
They treat gluten allergies very seriously at this location. They asked me if it was a preference or an allergy, when I told him allergy, they cleaned off the milkshake machine because I ordered a milkshake. They also have a dedicated fryer.