The title refers to Arthur J. Raffles, a gentleman thief created in 1898 by British author E. W. Hornung. Short stories featuring Raffles and his sidekick Bunny Manders were popular at the turn of the 20th century.
Howard Morton plays Brian Henley in this episode as a jewel thief. He will later play a man named Roger in Season 3 Episode 15 (The O'Hara Caper) as a jewel thief. Coincidentally, Martin turns him in both times by making the stolen jewelry stick to him in some fashion.
When Martin becomes affected by the storm, his upper body is transparent leaving only his legs to be shown. If you look carefully you can see his shadow upon the cushion of the chair once he walks behind it.
Madge Blake, who plays Mrs. Winthrop, would go on to play Aunt Harriet on "Batman".