Continuity: When Finch first gets the job at World Wide Wickets, he asks Bratt to light his cigar. The shot then changes to Rosemary and her friends, and when it comes back to Finch, the cigar has disappeared.
Continuity: When JB talks to Ms. Jones on the intercom after talking to his wife on the telephone, he asks where the "You know" is. She says "It's in your top right-hand drawer." You can see him moving to his left.