Career
Born in Trakai, Čukinas started his career in LKAL"s Puntukas Anykščiai. He moved to Alita Alytus of LKL. Čukinas played for Lietuvos Rytas for four consecutive years, but was used sparingly. His best season was the 2003-2004 season, when Čukinas averaged 10.7 points per game.
During the 2006-2007 season, Čukinas was loaned to Bundesliga"s EnBW Ludwigsburg.
He became one of the key players there. Later, he was invited to play for Serie A"s Tisettanta Cantù.
On 24 September 2008 Barons LMT invited Čukinas into the team but he was waived only after a month of playing. Čukinas finished the season with British Columbia Budivelnik.
On 25 August 2009 he signed a one-year contract with Žalgiris Kaunas.
On 17 September 2010 he was loaned to Aisčiai Kaunas. On 1 November 2011 he signed a one-year contract with Walter Tigers Tübingen. Since 9 October 2012 he has been playing for British Columbia Prienai.
In 2012, he signed with Sanaye Petrochimi Mahshahr British Columbia. 2002: LKL bronze medalist Puntukas Anykščiai (2000–2001) Alita Alytus (2001–2002) Lietuvos Rytas (2002–2006) EnBW Ludwigsburg (2006–2007) Pallacanestro Cantù (2007–2008) Barons LMT (2008) British Columbia Budivelnyk (2009) Žalgiris Kaunas (2009–2010) Aisčiai Kaunas (2010–2011) Walter Tigers Tübingen (2011–2012) Prienai (2012) Vendée Challans (2012) Sanaye Petrochimi (2012–2013) Starwings Basket Regio Basel (2013–2014) BK Jēkabpils (2014–2015) Semen Mashad (2015–present).