The term "cuts in to" typically refers to an interruption or disruption of a conversation or activity. Some possible antonyms for this phrase might include "allowing to proceed," "continuing smoothly," or "supporting." These words emphasize the idea of allowing something to continue or progress without interruption, rather than cutting in or disrupting the flow. Other possible antonyms might include "respecting," "honoring," or "acknowledging," which emphasize the importance of showing consideration and deference in one's interactions with others. Ultimately, the choice of antonym depends on the specific context and the intended meaning of the phrase "cuts in to.