General Richard Savage, 4th Earl Rivers PC was an English nobleman and soldier who was a senior Army officer in the English and then British Army. The second son of Thomas Savage, 3rd Earl Rivers and his first wife Elizabeth Scrope, Savage was styled Viscount Colchester after the death of his elder brother Thomas in 1680, he was designated by that title until he succeeded to the peerage upon the death of his father, the 3rd Earl, in 1694. Savage served as Master-General of the Ordnance and Constable of the Tower, and was briefly commander-in-chief of the forces in lieu of James Butler, 2nd Duke of Ormonde until his death in 1712.

The Constable of the Tower is the most senior appointment at the Tower of London. In the Middle Ages a constable was the person in charge of a castle when the owner—the king or a nobleman—was not in residence. The Constable of the Tower had a unique importance as the person in charge of the principal fortress defending the capital city of England.