mouth off vs pick up on

mouth off

verb
  • To complain or otherwise express oneself in a loud, immoderate manner. 

  • To talk impudently, especially to one's superior. 

pick up on

verb
  • To notice, observe, learn, or understand, especially something otherwise overlooked. 

  • To adopt a practice in which others already engage. 

  • To continue or build upon (for example, a task, analysis, or narrative), beginning from a point at which someone has previously stopped. 

How often have the words mouth off and pick up on occurred in a corpus of books? (source: Google Ngram Viewer )