Corr started his career at St. Anthony's, Kilcoole before moving to Leeds United, and then on to Sheffield Wednesday. At Wednesday he spent loan spells with Bristol City and Swindon Town. He signed for Swindon on a permanent basis at the start of the 2007–08 season, later moving to Exeter City in July 2009. He left the club at the end of the season.
Corr signed for Southend United on 9 July 2010 along with Peter Gilbert, both of whom had played previously for Southend's manager Paul Sturrock at Sheffield Wednesday. From 47 appearances he netted 21 goals for the Shrimpers, making him the club's highest scorer that season. He missed the whole of the 2011–12 season due to an ongoing knee injury, and returned on 22 September 2012 to score against former club Exeter. He spent most of the 2012–13 season as a substitute, but became a mainstay of the team the following season as Sturrock was replaced by Phil Brown. Corr signed a new two-year deal with Southend at the end of the season, and made his 150th appearance for the Blues on 27 September 2014 against Shrewsbury Town.
Cambridge United
Corr signed a two-year deal with Cambridge United on 2 June 2015. He made his debut for the U's on the opening day of the 2015-16 season, scoring twice in a 3-0 victory over Newport County. His campaign was cut short in January 2016 as he had to undergo knee surgery, and he was released when his contract expired in June 2017. He continued to train with the club after his release, and on 12 January 2018 he signed on non-contract terms until the end of the month, later extended until the end of the season. On 7 June 2018 Corr signed a new six-month deal with Cambridge United, but the spell was disrupted by injury and he left the club when it expired.
Coaching career
At the end of the 2018-19 season, Corr retired from football and on 9 July 2019 Cambridge United announced, that they had hired Corr as a development coach. On 6 January 2020, Corr was appointed manager of St Neots Town as part of a new strategic collaboration between both clubs.
