The antonyms for the phrase 'putting on cuff' may vary depending on the context. In most cases, it refers to the action of wearing a shirt or a coat, which can be replaced by terms such as taking off, removing, disrobing, unclothing, undressing. In a different scenario, the phrase can also indicate the act of adding extra layers to clothing, such as sleeves or cuffs, which can be replaced by terms such as removing, peeling off, shedding, sloughing off, or discarding. Generally, antonyms are words with opposite meanings, and selecting the most suitable one will depend on the context in which the phrase is used.