The USS Livingston was a Federation starship in service during the 24th century. Benjamin Sisko and Curzon Dax met aboard the Livingston some time in the late 2350s.
During that time, Sisko and Dax witnessed a remarkable stunt by the Livingston's science officer, Kustanovich: he ate eight helpings of Andorian redbat. (DS9: "Invasive Procedures")
Background
The Star Trek Encyclopedia states that this vessel was an Template:ShipClass starship, with a registry of NCC-34099.
Her name might be a hint at David Livingston.
The Livingston was later mentioned in the novel Hollow Men.