There are several synonyms for the phrase "taking back." Some of the commonly used synonyms include retracting, recanting, withdrawing, and rescinding. Each of these synonyms carries with it a slightly different nuance. For instance, retracting suggests that someone is retracting a statement or idea that they previously put forward. Recanting implies that someone is publicly disavowing a previously held belief or position. Withdrawing can be used to describe someone who is physically removing something that was previously given or offered. Finally, rescinding suggests that someone is formally revoking or cancelling something that was previously established or agreed upon. Depending on the context, each of these synonyms can be an appropriate replacement for the phrase "taking back".