The song also had a surprising effect on two cinematic legends, Jean-Luc Godard and Wong Kar-Wai. Kar-Wai's breakout film from 1988 took its title from the song (and portions of it can be heard on the soundtrack) while Godard went so far as to cast Marianne Faithfull herself in his amazing Made in U.S.A. in 1966, where she can be seen singing the song to Anna Karina.
http://mooninthegutter.blogspot.com/2008/12/classic-song-chronicles-as-tears-go-by.html