Andrew "Jock" Wemyss (pronounced "Weemz") (22 May 1893, Galashiels – 21 January 1974, Edinburgh) was a Scottish rugby union player, who played at prop. Wemyss lost one of his eyes in World War I, but continued to play after the war (games were suspended during the conflict).
Wemyss, together with George St Claire Murray, a rugby enthusiast from the Watsonians club, founded the Co-Optimists invitational rugby club in 1924.