Sugar Ray Robinson and the character played by Rocky Graziano box in this episode, and which Robinson knocks the Graziano character out. This is a case of art imitating life; in 1952 Robinson and Graziano fought for the world middleweight championship, and Robinson won by knockout.
The title refers to the English puppet duo Punch and Judy featuring short sketches between Punch and his wife that involve Punch hitting others with a stick to settle his disagreements.