Iunco started his career at hometown club Brindisi. He followed the team to play at Serie C2 after winning the Serie D Group H champion in 2002. In January 2004, he joined Verona of Serie B in a co-ownership deal. and made permanent in June 2004.
After Verona relegated to Serie C1, he moved to cross town rival Chievo (in a co-ownership deal), which also relegated but from Serie A, where he won Serie A promotion in 2008. He made 19 league starts in 27 league appearances for the Serie B champion.
In June 2008, Chievo bought him outright. After the club signed Mauro Esposito on loan who has much more experience at Serie A, Iunco was out-favoured and in January 2009 loaned to Serie B struggler Salernitana after the club signed Stephen Makinwa.
On 30 August 2009, he joined Cittadella of Serie B, as part of the deal that Chievo signed Manuel Iori earlier, re-joining Chievo team-mate Diego Oliveira. Iunco took number 7 shirt that previously owned by central midfielder Fabio Giordano.
In June 2010, Cittadella signed him in co-ownership deal for €500,000 and sold the remain 50% registration rights of Manuel Iori to Chievo.
On 12 July 2010, he was sold to fellow Serie B side Torino, and Chievo retained another 50% registration rights. (Chievo acquired Iunco outright for €700,000 and sold for €1M) On 25 June 2011 Chievo regained all the registration rights for €99,000. It also due to an auction error by Torino chairman Urbano Cairo, which offered €20,000 more than Chievo but did not sign it, thus did not considered a valid offer.
On 30 July 2011 Iunco joined Serie B club Spezia in another co-ownership deal for €150,000 fee. On 23 June 2012 Chievo bought back Iunco again, for just €750 fee.
In summer 2012 Iunco was loaned to Bari.
On 19 August 2013 Iunco joined Trapani. On 23 January 2015 Iunco was transferred to Alessandria.
Iunco joined Serie C club Alessandria on 23 January 2015. He spent 1½ seasons with the club.
In summer 2016 Iunco joined another Serie C club Paganese. However, Iunco terminated his contract in a mutual consent in the winter transfer window.
Iunco returned to Cittadella on 10 January 2017. On 18 July he signed a new contract.Serie B: 2008
Supercoppa di Lega di Prima Divisione: 2012 (Spezia)
Lega Pro Prima Divisione: 2012 (Spezia)
Coppa Italia Lega Pro: 2012 (Spezia)