"Run at the mouth" is a derogatory phrase used to describe a person who talks excessively or without control. There are many other synonyms that can be used to describe this type of behavior, including "blabbermouth," "chatterbox," "motor-mouth," and "yakker." Other options might include "jabberer," "gabber," "rambler," "prattler," or "natterer." Each of these words captures a slightly different aspect of the same general behavior; for example, "blabbermouth" may connote a lack of discretion, while "yakker" suggests someone who talks aimlessly or without purpose. Whether you're seeking to describe a friend, acquaintance, or opponent, any of these options would provide an effective alternative to the phrase "run at the mouth".