The term 'BAND'S BOOKING' can be broken down into two crossword solutions: GIG (3 letters) and ENGAGEMENT (10 letters). A GIG is a slang term for a musical performance, usually by a band or solo artist. It is often used to refer to a one-time performance at a specific venue. An ENGAGEMENT is a longer-term booking of a band or artist, typically lasting several days or weeks. It is usually associated with a tour or residency at a particular venue.