The crossword solution for the term RELINQUISHES with 'UP' is COUGHS. This term means to give UP or surrender something, usually voluntarily. It is often used in legal contexts, such as when a person gives UP their rights to something or when a company RELINQUISHES ownership of a property. Coughing is an action that is often associated with giving UP something, as it is a reflexive action that can be used to expel something from the body.