Meikle started his career with Vernon Colts before joining Eastwood Town's youth system, and made his first-team debut aged 16 in 2004.

Meikle was a member of the Mansfield team that won the Conference Premier title in 2013, and played for them for one season in League Two before joining divisional rivals York City.

Meikle started his career with Vernon Colts before going on trial with Eastwood Town, after his father suggested he join his brother Deon at the club.

[12] He helped Eastwood to a play-off position in 2010–11 with a fifth-place finish,[13] although they were unable to play in them as their ground was not deemed good enough for the Conference Premier.

[15][16] Less than a week after Cox's appointment as manager of Mansfield Town, Meikle followed him to the Conference Premier club on 24 May 2011 after signing a one-year contract for an undisclosed fee.

[19] His first goal for the club was the 81st-minute winner in a 3–1 away win over Barrow, which came after he paced past two defenders before he calmly finished with a shot into the bottom corner.

[27] Meikle made 50 appearances and scored 4 goals in 2012–13[15] as Mansfield won the Conference Premier title, and therefore promotion to League Two.

[29] Meikle played in Mansfield's first Football League match for five years,[30] entering the 2–0 away defeat to Scunthorpe United on 3 August 2013 as a 51st-minute substitute for Lee Stevenson.

[45] On 6 January 2016, Meikle signed a new contract with Alfreton to the end of the season, having initially joined on a one-month non-contract basis.

[52] Lindon made his debut for Kettering Town on 15 August 2017 in a Southern League Premier Division Central fixture at home to Redditch United, with Meikle making an instant impression scoring the matchwinner in a 1–0 victory, with a minute of injury time remaining, and receiving the man of the match award.

[56] On 21 February 2023, Meikle re-joined Southern League Premier Division Central side Tamworth on loan until the end of the season.

[3] He worked in a clothes shop while playing semi-professionally for Eastwood, but left this role after turning professional when joining Mansfield in 2011.