The antonyms for the phrase "putting back" could be "taking out," "removing," or "extracting." These terms indicate a process of taking something away from its original position or place. Another set of antonyms for "putting back" could be "rearranging," "reorganizing," or "shuffling." These words convey the idea of moving things around without necessarily putting them back exactly where they were before. Similarly, "disrupting," "dismantling," or "breaking down" could also be antonyms for "putting back," as they suggest the opposite action of assembly or putting things together. Overall, the antonyms for "putting back" reflect a set of processes that involve taking things apart or moving them around, rather than putting them back in place.