There are multiple synonyms for the phrase "going around," including circulating, spreading, making the rounds, traveling, journeying, traversing, and roaming. These phrases can be used in various contexts to describe the movement of objects or people, such as news or gossip, a disease or infection, or individuals traveling from place to place. For example, "the flu virus is spreading quickly throughout the city," or "the rumor about the company's merger is circulating among employees." Synonyms can vary in tone and intensity, so choosing the right word can enhance the meaning and impact of the sentence.