McCaffrey was also a graduate of Fordham in 1911. A 5'11", 165-pound running back, he earned the nickname "Bull" for his powerful running style. He was Fordham's first-ever All-America selection when in 1909, his junior season, when Walter Camp chose him as one of the premier college football players. Fordham discontinued football before McCaffrey's senior season in 1910, so Princeton University offered him a football scholarship. Frank McCaffrey did not accept the scholarship because his mother thought that football was too rough and she did not want to see him get hurt (which had been a concern of hers while McCaffrey played for the Rams).