The phrase off hand refers to something done or said spontaneously, without any previous thought or consideration. There are several synonyms that can be used interchangeably for this term. The phrase off the cuff is a common synonym for off hand, which is often used in a conversational context. Other synonyms for off hand include spur of the moment, impromptu, spontaneous, and extemporaneous. All these words denote a similar idea of something done without preparation or premeditation. When speaking or writing, it's always useful to have a variety of synonyms to convey the intended meaning accurately.