The phrase "put the cuff" can mean a number of things depending on the context in which it is used. Some possible synonyms for this phrase include arresting, handcuffing, detaining, incarcerating, or restraining. These words all have similar meanings and are often used interchangeably when discussing law enforcement or criminal justice. Other synonyms for "put the cuff" might include taking into custody, placing in handcuffs, or apprehending a suspect. In general, any phrase that implies taking someone into police custody or restraining them in some way could be considered a synonym for "put the cuff".