Galway United Conneely joined the club in 2007 from
Mervue United. He completed a successful season in United's U21s before being given his senior competitive début against
Shamrock Rovers at
Terryland Park, replacing the injured
Wesley Charles. This was
Tony Cousins's last game in charge of Galway United.
Sheffield United In January 2011 he signed an 18-month deal with English side
Sheffield United. In over a year after signing for the Blades, Conneely did not make a first team appearance, but he was a regular for the reserve team where he was the team captain. On 9 March 2012 Conneely joined
Alfreton Town on loan for a month. He made his Alfreton début the following day, coming on as a substitute after only 16 minutes away against
Lincoln City at
Sincil Bank in a 1–0 victory for Alfreton Town. After returning to Sheffield United, Conneely was released when his contract expired in May 2012.
Sligo Rovers Conneely joined
Sligo Rovers in July 2012, winning the
League of Ireland Premier Division in his first season.
Accrington Stanley In January 2015, Conneely signed for
Accrington Stanley, reuniting with former Sligo Rovers manager
John Coleman. On 9 May 2025, the club announced the player would be leaving when his contract expired in June. Following a change of mind however, it was announced on 2 July 2025 that Conneely had signed a new one-year contract with the club. ==International career==