"The Chick-Fil-A" refers to a homosexual sex act between two consenting male adults. "The Chick-Fil-A" occurs when one man naked stands behind another naked man. The man in front bends over while reaching behind to grab and stroke the other man's genitalia. While the man in the rear reaches to the frontal individual giving him a reach around.
When coming to climax both individuals release themselves onto a Chick-Fil-A grilled sandwich then consuming it.