Mrs Grundy gets in the back left side of a police car which goes off on a chase during which she moves to the right side then back to the left.
When William Powell goes to buy Ann Blyth a sweater, the saleslady asks if he wants long or short sleeves. He says short but she shows him long-sleeve options.
In the underwater fight scene, one shot shows that the fishtail costume had clearly separated from Lenore's back.