Chung entered the diocesan minor seminary of the Diocese of Laohekou in 1940. In 1947, he entered the Regional Major Seminary at Hankou. However, in 1949, during the communist insurgency, the entire seminary was moved to Hong Kong and later to Macau.[1] In 1954, he graduated from the seminary and arrived in Kuching for his priestly ordination on 26 September. He was ordained by Bishop John Vos and became the first priest to be ordained in Sarawak. In 1966, he was sent to study canon law in Rome and obtained a Doctorate of Canon Law.[1][2]
On 30 January 1975, Chung was appointed as Vicar Apostolic of Kuching. The Ecclesiastical Province of East Malaysia was established and Apostolic Vicariate of Kuching was raised to be an archdiocese and Chung became its first archbishop on 31 May 1975.[3] On 21 June 2003, he retired and handed over the archdiocese to his auxiliary bishop, John Ha Tiong Hock.[1]