According to the book Abbott and Costello In Hollywood by Bob Furmanek & Ron Palumbo:
Who Done It? [a 1942 Abbott and Costello film] was supposed to be dedicated to Lou's idol, Charlie Chaplin. Before the production, Lou was a guest of honor at Chaplin's Beverly Hills home. According to a newspaper clipping, Chaplin entertained his guests with an impersonation of Abbott & Costello and the two great comics discussed the possibility of doing a picture together. Lou asked about the possibility of buying the rights to The Kid. Later, Lou explained: "Charlie told me he planned to remake The Kid with me playing the role he created. Then I guess the whole thing was dropped because he got involved in this political situation and left the country."