The phrase "fat mouth" is often used to describe someone who talks too much or speaks without thinking. There are several synonyms for this phrase that can be used in different contexts and situations. Examples include, "big talker," "windbag," "blabbermouth," "gossip," "loose-lipped," and "chatterbox." Each of these words carries a slightly different connotation, but all indicate someone who tends to speak impulsively or excessively. Using these synonyms can help add variety and nuance to your writing or conversation when describing individuals who tend to have "fat mouths".