The phrase loosely stands for a Bad Conduct Discharge issued from any military service.
"Airman Turd got his Big Chicken Sandwich yeasterday."
The big chicken is a Kentucky Fried Chicken restaurant which features a 56 foot tall steel sided structure designed in the appearance of a chicken rising up from the top of the building. A well known landmark just north of Atlanta in Marietta. It was constructed in 1956 and remodeled after storm damage in 1993. The big chicken is used to give directions.
" To get on Highway 85, go 3 miles north and take a right at the big Chicken".
A Big Mac, but chicken edition
A shortcut into getting a heart attack
Also supposedly hella fucking good
Wanna go to McDonald’s
Sure, I’ll get a chicken Big Mac