Laytress On The Menjay means: It is a humorous way of saying “Bye” instead of the more traditional “Goodbye”. This is often used to say “Bye” and leave someone with a large question mark. The Hilarious Hit Movie Starring Paul Rudd. Paul Rudd’s character Peter Claven said “Laytress on The Menjay”, while trying to sound cool and hip. However, he failed miserably after saying Laytress On The Menjay. (in Community Dictionary, added by Devin Frey)