From an interview posted on BobDylan.com —
Bill Flanagan: You met John Wayne in 1966. How did you two hit it off?
Bob Dylan: Pretty good, actually. The Duke, I met him on a battleship in Hawaii where he was filming a movie, he and Burgess Meredith. One of my former girlfriends was in the movie, too, and she told me to come over there. She introduced me to him and he asked me to play some folk songs. I played him “Buffalo Skinners,” “Raggle Taggle Gypsy,” and I think “I’m a Rambler, I’m a Gambler.” He told me if I wanted to, I could stick around and be in the movie. He was friendly to me.
Love that poster art by Saul Bass!