Clarence Walker earned a bachelor's degree in mining engineering in 1898. After graduating from Lehigh Walker became a mining engineer with the Berwind-White Coal Mining Company from 1890 to 1896. He then moved to several other companies before coming to the Dravo Company in 1899 as an engineer and superintendent of outside work.
In 1901, Walker became an assistant superintendent of docks at the Pittsburgh and Conneaut Dock Company in Conneaut, Ohio, a subsidiary of the Carnegie Steel Company. He remained with the company when it became part of U.S. Steel and retired in 1932 as superintendent of docks. After his retirement, he moved to Los Angeles, California. Walker attended reunions and corresponded with the Alumni Association, especially about the early days of football at Lehigh, seeing as Walker captained the Lehigh team in its first period of glory as it won the championship of Pennsylvania.
Walker was not only the captain and quarterback of the football team, but also a left fielder on the baseball team, and a member of the popular Lawn Tennis Club. His wide range of interests also led him become the business manager of the Lehigh Burr, and a member of the Mining Club, the Engineering Society, Mustard and Cheese Drama Club, Sword and Crescent, the Hefty Whist Club, and the fraternity, Psi Upsilon.