The phrase "cuts one in" is commonly used to describe someone who interrupts or interjects in a conversation. If you are looking for synonyms for this phrase, you could consider using "talks over," "butts in," "interrupts," "interferes," "intrudes," "disrupts," or "butters in." These phrases all share the same meaning and can be used interchangeably with "cuts one in." When you want to describe someone who is speaking out of turn or disrupting the flow of a conversation, using these synonyms can help you convey your message more clearly and effectively.