 1960 saw them Division 1 champions, and promoted into the Southern Premier League for the first time, where they finished 5th in their first season.University only lasted 1 season before being relegated in 1962, and then moved in and out of the premier league for most of the 1960s, 1970s and 1980s.1983 saw University finish 3rd, their best result in over 20 years of league football, but they were soon finishing mid to low table again.