Klinefelter syndrome doesn't have a widely recognized, formal nickname. However, it's often referred to by its chromosomal makeup, 47,XXY, or simply the XXY condition. Those affected are sometimes called XXY males.
While "47,XXY" isn't a traditional nickname in the sense of a pet name, it functions as a shortened, recognizable identifier within medical and support communities. It quickly communicates the genetic basis of the syndrome.
Therefore, while not a true nickname, "47,XXY" and "XXY condition" serve as the most common shorthand references for Klinefelter syndrome.