He did not contest the 1951 General Election. For the 1955 General Election, he was Liberal candidate for Oxford, where 17 years earlier he had briefly been candidate. He again finished third. At the 1959 General election he was again the Liberal candidate for Oxford, finishing third. In 1962 he was elected a member of Oxford City Council. At the 1964 General Election he fought Oxford for the third and final time, finishing third. He was always on the radical wing of the party and was in particular a supporter of nuclear disarmament being one time chair of Oxford CND. He was appointed a CBE for political and public service in 1984. During the war, Davies enlisted in the Royal Air Force and rose to Acting Flight Lieutenant, serving at home, in India and Burma where he was wounded. In 1940 he married Jean McLeod whom he had known from Edinburgh. They had two sons, Michael and John, who became a Labour Party politician, standing against Margaret Thatcher in Finchley in 1987 and a daughter Mary who like her father was president of the Edinburgh University Liberal Club and was an elected Liberal councillor in Havering. He worked as a journalist on the News Chronicle. He was a Director of a London publishing firm, and a Director of book distribution companies.