St Vincent's retained their Dublin and Leinster SFC crowns in 2014 but were beaten by eventual winners Corofin in the All-Ireland semi-final in Feb 2015.
Quinn again played a key role in St Vincent's winning the Dublin SFC, with a man of the match performance in the 2016 final against Castleknock.
Quinn had previously captained St. Vincents to their first Dublin SFC in 23 years in 2007 beating St. Brigids by 1 point in the final.
They went on to win the Leinster Club Championship and added All-Ireland honours on St Patricks Day 2008 defeating Nemo Rangers from Cork in Croke Park.
Throughout the National Football League he showed he could hold his nerve scoring the winning points in two matches from dead balls.
Quinn was on the Dublin panel that beat Laois in the Leinster Senior Football Championship Final at Croke Park.
He finished the 2006 NFL campaign as top scorer for the Dublin Senior panel with a total score of 3–22 (2–0 pens, 0-13f, 0–4 '45').
His form continued against St Judes in a tight game in which Mossy scored 2–2 to take his side into the Dublin Championship semi-final against Na Fianna.
Quinn was named on the 2006 Dublin Bus/Evening Herald Blue Star football XV at full forward.
[7] Tomás won the 2008 All-Ireland Senior Club Football Championship with St Vincent's as captain while scoring total of 0–7 (0-5f) in their final win over Nemo Rangers.