He played for Yorkshire Carnegie in the RFU Championship, Newcastle Falcons, Leicester Tigers and Northampton Saints in Premiership Rugby and La Rochelle in France's Top 14.

[3][4] Barrow came through the Yorkshire Carnegie academy to make his first-team debut at the age of seventeen starting in an Anglo-Welsh Cup game against Scarlets in November 2010.

[10] In his first campaign with Leicester he started in their 2015–16 European Rugby Champions Cup semi-final elimination against Racing 92 at the City Ground.

[11] The following season saw Barrow come off the bench as a substitute in the 2016–17 Anglo-Welsh Cup final as Leicester defeated Exeter Chiefs to lift the trophy.

[21] Barrow was named in an initial senior England training squad preparing for their 2017 tour of Argentina but was ultimately not included for the trip.