He started his career with Arsenal, but could only manage a single League Cup appearance, as a substitute against Rotherham United on 28 October 2003. Arsenal won the tie 9–8 on penalties with Spicer converting his spot kick. He later went on a four-month loan spell at Bournemouth, starting on 10 September 2004. At Bournemouth, he played 19 games and scored four goals; impressed with his form, Bournemouth signed him permanently on 17 December. He played another 31 games and scored further four goals forthe League One club over the next eight months. This form earned him a £35,000 move to Burnley at the start of the 2005–06 season, joining them on 27 August 2005. The highlight of Spicer's first season at Burnley was taking over as goalkeeper after Burnley's Brian Jensen was sent off in a match at Luton Town. Despite having no previous experience as a goalkeeper, Spicer played well enough during his hour in goal to ensure a 3–2 victory. Spicer spent the 2006–07 season as a squad player; his most significant contribution that season being the only goal in a victory at Birmingham City. In the 2007–08 season Spicer once again started as a substitute, but forced his way into the team before an injury allowed other midfielders to stake their claim at a time which coincided with much-improved Burnley results. He joined Doncaster Rovers in June 2008. He scored his first goal for the club in the 3–0 victory over Plymouth Argyle in the game which secured Doncaster's place in the Championship for a second year running. In July 2009, it was announced that Spicer would change his shirt number with Doncaster Rovers, switching from number 20 to number 10, which had been vacated by the departure of Gareth Taylor. In March 2010 he went on loan to Leyton Orient. He scored his first goal for the club against Southampton on 5 April 2010. In May 2010, Doncaster announced that he was one of 6 players who would not be offered new contracts. On 2 July 2010, Spicer signed a two-year deal with League 1 club Notts County. On 10 August, he scored his first goal for Notts County in a Football League Cup tie against Plymouth Argyle which County won 1–0. In May 2012, he was released by the club, along with 12 other players. On 17 August 2012, Spicer signed a one-year deal with Southend United after impressing during a pre-season trial. He made his debut on Saturday 18 August 2012 as a substitute in the 1–0 defeat against Accrington Stanley. In October 2012, Spicer got sent off in a defeat at home to Burton for lunging into a two footed challenge.
