The phrase "gotten one's fingers on" implies that someone has gained possession of something through effort or ingenuity. Antonyms for this term could include "lost grip of," indicating that someone has let go of what they were holding onto, or "failed to acquire," indicating that someone was unable to obtain what they were seeking. Other possible antonyms might include "released," "disavowed," or "denounced," none of which connote the sense of successful acquisition implied by the original phrase. To convey the opposite meaning of having successfully obtained something, one could instead use terms like "handed over," "gifted," or "presented.
