The phrase "puts dibs on" means "to claim ownership or right to something." Antonyms for this phrase would include "relinquish," "surrender," or "yield." These words indicate the opposite action of claiming something, and instead suggest giving up or letting go of a claim. Other antonyms could be "share," "concede," or "cede," which suggest sharing or giving up a portion of a claim. Alternatively, "refuse," "deny," or "reject" could also be antonyms, indicating a complete lack of desire or interest in claiming something. Overall, the antonyms for "puts dibs on" all suggest the opposite of claiming ownership or right to something, whether through sharing, refusing, or relinquishing it altogether.