Clarence Chauncey Gilhams (April 11, 1860 – June 5, 1912) was an American educator and politician who served two terms as a U.S. Representative from Indiana from 1906 to 1909.

An auditor of Lagrange County in 1894–1902, he later engaged in the life insurance business.

Gilhams was elected as a Republican, in 1906, to the Fifty-ninth Congress to fill the vacancy caused by the resignation of Newton W. Gilbert; he was reelected to the Sixtieth Congress and served from November 6, 1906, to March 3, 1909.

Later, he studied law, and was admitted to the bar in 1910, also resuming the life insurance business.

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