The phrase "gotten one's hands on" means to obtain or acquire something. Antonyms for this phrase could include losing, giving away, or getting rid of something. Other antonyms may depend on the context of how the phrase is used. For instance, if someone "got their hands on" a stolen item, the antonyms could be surrendering, relinquishing, or confessing to the theft. Alternatively, if the phrase refers to obtaining something legally or through hard work, antonyms could include failing, forfeiting, or being denied access. In summary, antonyms for "getting one's hands on" will vary based on the situation in which the phrase is used.