Clement Archer (21 December 1748 - 1803) was a surgeon and president of the Royal College of Surgeons in Ireland. Clement Archer was born in the County of Wexford on 21 December 1748. He was educated as a surgeon, and on 4 February 1772, was examined by the County Infirmaries' Board, and "passed" for the Longford Infirmary. Clement Archer was the President of the Royal College of Surgeons in Ireland (RCSI) in 1795.