Coughee is slang for weed, plain and simple. A play on Cough and Coffee, which enables it to be used in a public setting without drawing any unwanted attention to ones self. Made popular by Devin the Dude and his group The Coughee Brothaz.
"Wanna take a coughee break?", "Let's go sip some coughee.", "I got some good coughee.", "Excuse me police I'm just sippin coughee, mindin my busines. why is you trippin won't you get up off me? Why you all inside my ride?"