Ancsin made his senior debut in the Hungarian top division for Dunaferr SE in 2007. His talent was spotted soon and teams from Spain and Germany showed interesting in signing him. Finally, he chose Rhein-Neckar Löwen and moved to the Mannheim-based team in 2009.[2] Gábor was sent immediately on loan to second division side TSG Friesenheim by his club, with them he celebrated promotion to Handball-Bundesliga at the end of the season. The right back spent the next season by Frisenheim as well, however, the team did not manage to maintain its top division membership. In May 2011 the officials of Löwen and SC Pick Szeged announced that Ancsin joins the Hungarians on a two-year deal, during which period the German team have buy-out option.[3] Ancsin finally remained a player of SC Pick Szeged until 2016, after which he was certified to the multiple Hungarian champion, Telekom Veszprém.[4] After a period of neglect in Veszprém, he proved his loan to Ferencvárosi TC.[5] He found himself here, played a lot and finished 3rd on the scoreboard with 144 goals, after that he was confirmed in the 3rd best Hungarian team for Grundfos Tatabánya KC.