Babble out means to speak in a a hurried or confused way, often revealing too much information. The antonyms for babble out include to keep quiet, to be silent, to withhold information, to keep secrets, to be discreet, to keep one's thoughts to oneself, to hide, to conceal, to stay composed, to remain calm and collected, to be measured in speech, to talk deliberately, to choose one's words carefully, and to speak with purpose. In situations where oversharing can lead to negative consequences, it is important to practice restraint and be mindful of the words we choose to use.