 Born in Middlesbrough, Beagrie started his professional footballing career as an apprentice at Middlesbrough in 1983.Beagrie fell out of favour with the fans at Middlesbrough for being one of only two players (the other was then club captain Don O'Riordan) to cut ties with the club after liquidation in 1986.Beagrie arrived at Sheffield United in August 1986, being signed by then manager Billy McEwan for a tribunal agreed fee of £35,000.