The term 'MAGICIAN's Hiding Place' can be broken down into three crossword solutions: SLEEVE (6 letters), THINAIR (7 letters), and SERVANTE (8 letters). SLEEVE is a term used to describe the hiding place of a MAGICIAN's props, such as cards or coins. Thinair is a type of illusion where the MAGICIAN appears to make an object disappear into thin air. Finally, Servante is a French term for a MAGICIAN's assistant. All three terms are related to the art of magic and the hiding places of a MAGICIAN's props.