The term 'half-moon' is a shape that is often used to describe the shape of the moon when it is only partially illuminated. It can also refer to other objects with a similar shape, such as a BUTTOCK, CHEEK, or CRESCENT. The crossword solutions for the term 'half-moon' are 'BUTTOCK' (7 letters), 'CHEEK' (5 letters), and 'CRESCENT' (8 letters). All three of these words refer to objects that have a curved shape similar to the half-moon shape.