McClory was one of seven Republicans on the House Judiciary Committee to vote for articles of impeachment against President Richard Nixon.
McClory was elected as a Republican to the Eighty-eighth and to the nine succeeding Congresses (January 3, 1963 – January 3, 1983).[5] He was not a candidate for reelection to the Ninety-ninth Congress. He resumed the practice of law in Washington, D.C. He was United States delegate to the Inter-Parliamentary Union Conference from 1963 to 1982, and honorary delegate, 1983 to 1988. He was a resident of Washington, D.C., until his death there on July 24, 1988.