After his expulsion from the Clash, Jones was a founding member of General Public, with vocalists Dave Wakeling and Ranking Roger of the Beat. Though he is listed in the credits of the band's 1984 debut studio album All the Rage as a member, Jones left General Public part way through the recording process and was replaced by Kevin White. White's picture appears on the back cover; Jones' picture does not. Jones did play guitar on many of the album's tracks however, including the North American top 40 single "Tenderness".
