Come between is a phrase that implies an interference or disruption between two parties or things. Some synonyms that could be used instead of "come between" include interrupt, impede, hinder, meddle, intermediate, intrude, get in the way, obstruct, intervene, infringe, disturb, separate, divide, estrange, create a rift, and cause a break. Each of these synonyms conveys the idea of interference or separation in different ways and can be used depending on the context. Using these synonyms can help avoid repetition in writing and convey a more nuanced understanding of the situation at hand.