He studied law, was admitted to the bar in 1907, and commenced practice in San Antonio.

He served as judge of Bexar County from 1920 to 1928, and as a delegate to the Democratic National Convention at Houston, in 1928.

McCloskey presented credentials as a Democratic Member-elect to the Seventy-first Congress and served from March 4, 1929, to February 10, 1930, when he was succeeded by Harry M. Wurzbach who successfully contested his election.

He served as judge of the corporation court of San Antonio, from January 1943 to July 1947.

This article incorporates public domain material from the Biographical Directory of the United States Congress