Alan Silvestri wrote, produced, and performed this great music for a kind of mediocre film, and ended up making one of the great soundtracks from the mid-80s in my opinion. It actually comes off similar to the music Vangelis was making around the same time. If you dig that kind of well thought out electronic composition, definitely check into this one.
Quote Gordon Rekcikssa The Clan Of The Cave Bear Original Motion Picture Soundtrack - Alan Silvestri
Varèse Sarabande, 1986
I think I vaguely remember that movie from years ago. The clip you posted does sound pretty good. Not sure I'd want to see the film but I'd buy that soundtrack if I came across it.