Offcut \Off"cut`\, n. 1. That which is cut off. [1913 Webster] 2. (Bookbinding) A portion of the printed sheet, in certain sizes of books, that is cut off before folding. [1913 Webster]
Inset \In"set\, n. 1. That which is inserted or set in; an insertion. [1913 Webster] 2. (Bookbinding) One or more separate leaves inserted in a volume before binding; as: (a) A portion of the printed sheet in certain sizes of books which is cut off before folding, and set into the middle of the folded sheet to complete the succession of paging; -- also called {offcut}. (b) A page or pages of advertisements inserted. [1913 Webster]