Torp has published widely, both for the higher education sector and for high school. Arne Torp was for years a member of the Norwegian Language Council and has participated in several radio and television programs in discussion of Nordic linguistics and the Norwegian language in particular.
In 2008, Arne Torp participated in a series of radio commercials for the grocery chain Joker, where he used his knowledge of Norwegian dialects to discern the geographic origin of speakers.
Arne Torp was the leader of the 'Landslaget for språklig samling' (Norwegian: National Association for Language Collection) from 1989 to 1993. From 1993 to 2003, he was editor of the magazine-language collection.