When Tony tells Vicki that he's been going to the movies and there the women are quite different, they get pushed in the face with grapefruit and they love it; he is referring to the film The Public Enemy (1931) with James Cagney. Joan Blondell was also in that film, so this may be an inside joke.
Vicki, this flow of humor is just a little more than I can bear!
Vicki Wallace Thorpe: Oh, now don't be irritable, precious.
Vicki Wallace Thorpe: He thinks he looks very dignified, but he's not a bit, really.
Tony: Vicki, cut it out!
Vicki Wallace Thorpe: Well, darling, you *are* irritable!
Tony: Well, who wouldn't be? You make ...
When Tony is in his apartment serving drinks to Bonnie and himself, he is holding his glass with his right hand as he sits down. But on the next immediate cut when he sits down, he is now holding the glass with his left hand.