keep after
phrasal verb
            
              kept after; keeping after; keeps after            
        
    1
                    
                                informal 
                                  
              
          
                                                      : to tell (someone) again and again to do something                                      
              
                             
My kids kept after me to quit smoking, so I finally did.
                                       I wasn't going to audition, but my friends kept after me.
                         
                
                    2
                    
                                US 
                                  
              
          
                                                      : to require (a student) to stay at school after classes have ended                                      
              
                             
The teacher kept him after (school) for misbehaving in class.
                         
                
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  Merriam-Webster unabridged




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