Chick fil a now offers a gluten free bun that is served in a sealed plastic bag. its pretty good but there is an upcharge of $1.15. Overall decent for a quick meal.
Chick-fil-A offers gluten free grilled chicken nuggets and many locations have dedicated fryers for fries. Check with your location if cross-contamination is a concern for you.
I went to chick-fil-a at Rife Snow and 820 today and asked if they had an gluten free menu or items that were gluten free. The young lady clearly did not know and went and asked what appeared to be two managers, after they were discussing it and looking at the menu board the young lady said I believe you can get a salad. It is obvious that they are unsure of what can be made gluten free and it is not worth the chance of being glutened at this store.