General Public's first album, All the Rage was released in 1984 and became a hit, reaching #26 on the charts. "Tenderness" would peak at #27, one of two top 40 hits for the band (more on that in a moment). Sadly, the band's second LP, 1986's Hand to Mouth did not do well (#151) and the lack of success and disagreements over the music direction of the band led to its dissolution.
In 1994, Dave Wakeling and Ranking Roger were asked to contribute a song to the Threesome movie soundtrack and decided to re-form General Public (though without any of the other original members). They recorded a cover of The Staple Singers' "I'll Take You There," which became General Public's second top 40 hit (#22) and led to the 1995 Rub It Better album, which did not chart. The group broke up a second time soon afterwards, though Wakeling and Ranking Roger have continued to perform in various projects since then.
As a cool factoid, it turns out that there were two "Tenderness" videos and we have included both of them (of course). The first version (below) is the one that I recall seeing on MTV back in the day.