[6] In the inaugural J P Morgan Premiership Sevens Series in July 2010, Beck played for Leeds Carnegie against the Leicester Tigers, Sale Sharks and the Newcastle Falcons.

He made his full first-team start for Leeds Carnegie against Rotherham Titans in the British and Irish Cup on 21 September 2011.

Beck suffered a shoulder injury which kept him out of the side for half of the season returning for the second leg of the play-off semi-final against Newcastle Falcons on 12 May 2013.

[10] At the start of the 2013–2014 season, Beck played in both pre-season friendly games against Sale Sharks[11] and Doncaster Knights.

The 2013–2014 season ended disappointingly for Leeds Carnegie with defeat in the Greene King IPA Championship play-off semi-final against London Welsh[14] and in the British and Irish Cup Final against Leinster 'A'.

[16] The 2014–2015 season for Beck started belatedly with an appearance off the bench against Plymouth Albion in the Greene King IPA Championship on 21 November 2014.

on loan for a short period before returning to Yorkshire Carnegie for his first match of the 2015–2016 season against Ospreys Premiership Select in the British and Irish Cup.

[21] In the last game of the 2017–2018 against London Scottish, Beck made his 100th league start becoming only the seventh player in the club's history to reach this milestone.