 Wynne was made a serjeant-at-law in 1736.Wynne's writings included "Observations Touching the Dignity and Antiquity of the Degree of Serjeant at Law" (1756) (written at a time when the position of the serjeants in the Court of Common Pleas was under threat), and "The Life of Sir Leoline Jenkins" (1724), using papers inherited from his father.He died on 16 May 1765 and was buried in Westminster Abbey seven days later.