HMS Teviot was a Yarrow type River Class Destroyer ordered by the Royal Navy under the 1902 – 1903 Naval Estimates.

She served during World War 1, primarily on anti-submarine duty in the Channel, and was sold for breaking up in 1919.

After commissioning she was assigned to the East Coast Destroyer Flotilla of the 1st Fleet and based at Harwich.

On 30 August 1912 the Admiralty directed all destroyers were to be grouped into classes designated by letters, with the River-class becoming known officially as the E-Class.

She was equipped with depth charges for employment in anti-submarine patrols, escorting of merchant ships and defending the Dover Barrage.