Often both tafia and rum were produced. An offshoot of the Chicago Tafia is the Chicago Swansea City Supporters Club. The history of rum and tafia dates back to the 17th century. He experimented with different blends of tafia to create the new rum. The Chicago Tafia is an expatriate Welsh group that was formed in Chicago in 1999. Tafia is a kind of cheap rum made from sugarcane juice.