Non-couple couple

A couple who, despite constant public flirting and/or making out, adamantly claims that they "just aren't together."

F: "Aw, you're so sweet!"
M: "No, you are!"
Other: "Hey, lovebirds! The line is moving!"
M: "Uh. We're not together."
Other: "Alright, non-couple couple, get going!"