The phrase "close around" refers to the act of surrounding or enclosing something, typically in a tight manner. Synonyms for this phrase include "encircle," "surround," "enclose," "envelop," "hem in," "girdle," "enwind," "engird," "ring," "compass," "circumscribe," and "border." These synonyms all convey the idea of something being tightly wrapped or bounded by something else. They can be used interchangeably depending on the context and the desired effect in the sentence. By using synonyms, writers can add variety and depth to their language, making their writing more engaging and interesting for readers.