Cuenco had a distinguished career as a churchman. As a young priest, he was the founder-editor of the Cebu Catholic newspaper
El Boletin Catolico (1915–1930), continuing the work of his own father who was publisher-editor of the pioneering Catholic newspaper in Cebu,
Ang Camatuoran (1902–1911). In 1917, he was appointed by Bishop
Juan Gorordo as Chancellor-Secretary and became Vicar General in 1925. In 1931, during the
sede vacante of the Diocese of Cebu, he was appointed by Apostolic Delegate
Guglielmo Piani as Vicar Delegate. Upon the accession of Archbishop
Gabriel Reyes as prelate of Cebu, he was reappointed Vicar General, and on the same year, was appointed by Pope
Pius XI as Domestic Prelate. In 1933, he became the first parish priest of Cebu City's Santo Rosario Parish, serving until he was appointed to the episcopacy. ==Episcopacy==