Neighbour joined Spurs as an apprentice in November 1968. He made his senior debut against Stoke City at White Hart Lane in October 1970. A traditional right winger who had the ability to beat defenders, he played on 156 occasions including 22 as substitute and scoring 11 goals in all competitions between 1970–76. The highlight of Neighbour's career at the club was the winning of a League Cup medal in the 1971 Football League Cup Final. He transferred to Norwich City in September 1976 for a £75,000 fee and went on to play 106 matches including two as sub and netting five goals for the Carrow Road club between 1976–1979. West Ham United paid £150,000 for his services in September 1979, where he featured in 97 games in all competitions, scoring six times. Despite not being part of West Ham's victorious 1980 FA Cup Final squad he did contribute four appearances during the cup run. Neighbour was involved in a loan deal which took him to Bournemouth in January 1983, where he played a further six matches. At the end of the 1984–85 season, he played two games for Isthmian League side Cheshunt, but declined to appear for them the following season.