Definition of come exclamation from the Oxford Advanced American Dictionary

 

come

 exclamation
exclamation
NAmE//kʌm//
 
(old-fashioned)
 
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used when encouraging someone to be sensible or reasonable, or when showing slight disapproval Oh come now, things aren't as bad as all that. Come, come, Miss Jones, you know perfectly well what I mean.
See the Oxford Advanced Learner's Dictionary entry: come