Born in Edmonton, London, Livermore was a trainee at Arsenal and went on to feature for Millwall, where he became club captain. With Millwall, he won the 2001Division Two title. While at the club he also played in the 2004 FA Cup Final, but he conceded a penalty as they lost to Manchester United. He as well netted the 1000th goal of the Coca-Cola £1 million goal chase against Nottingham Forest. In 2006, LIvermore won Millwall's Player of the Year award. Livermore joined Hull City for £500,000, having been spent only ten days as a Leeds United player after signing from Millwall in the summer of 2006 also for £500,000. This came after Leeds manager Kevin Blackwell stated the club had eventually managed to acquire other players in the same position in Ian Westlake and Kevin Nicholls, and felt Livermore's first team chances were limited. Livermore missed Hull's first two matches in the 2006–07 season through injury, but went on to play in twenty-five league games, scoring four goals and aiding Hull in escaping relegation. He joined Oldham Athletic on loan on 31 January 2008. With the Latics he played 10 games and scored once altogether. On 5 June 2008, Hull announced that Livermore would be leaving the club that summer, following their promotion to the Premier League. On 3 July 2008, it was announced that Livermore had agreed a two-year contract at League One club Brighton & Hove Albion. On 26 March 2009, Livermore was allowed to leave Brighton to join League Two side Luton Town on loan, where he made eight appearances. On 2 February 2010, it was revealed that Livermore was due to leave Brighton, although his current contract wouldn't expire until the end of the season. On 4 February 2010 he signed with Barnet, scoring once in 14 appearances, against Darlington. After a change of manager two games before the end of the 2009–10 season, he was released by Barnet.
Managerial career
Livermore was appointed manager of Conference National team Histon on 23 August 2010. Livermore featured 14 times during the 2010–11 season, after which Histon were relegated to the Conference North; he was a more regular fixture for the club in the 2011–12 season with 30 starts and one substitute appearance, as they finished the season in 16th place. In 2012, Livermore was recruited as a youth team coach at Millwall and in 2015, was appointed as the assistant manager of the club. On 3 October 2019, Livermore resigned as assistant manager of Millwall