Lusk was the son of Samuel Lusk and Clara Root Lusk. He graduated from Cortland Normal School in 1895, graduated LL.B. from Cornell Law School, was admitted to the bar in 1902, and practiced law in partnership with Rowland L. Davis in Cortland. Lusk entered politics as a Republican, and was City Judge of Cortland from 1904 to 1909.
Lusk was Temporary President of the State Senate from 1921 to 1922. On September 26, 1922, upon the resignation of Lt. Gov. Jeremiah Wood, who was appointed a judge of the New York Court of Claims, Lusk became Acting Lieutenant Governor until the end of the year serving under Governor Nathan Lewis Miller. He was Minority Leader from 1923 to 1924. At the end of his third term, he came under scrutiny for allegedly having accepted gifts from various companies to support or oppose legislation.
Clayton R. Lusk was also a member of the Cortland County Bar Association, the Masonic Cortlandville Lodge, and the First Presbyterian Church of Cortland.
Sources
"Clayton R. Lusk, legislator, dies: Former Republican leader of State Senate acted as Governor in 1922" in NYT on February 15, 1959, p. 85.