1
general::
Phrase(s): take a dig at someone [and] take a jab at someone; take digs at someone
Fig. to insult or pester someone. • Why did you take a jab at Sam? • You’re always taking digs at people who think they’re your friends. • Jane is always taking digs at Bob, but she never really means any harm.
McGrawhill's American Idioms And Phrasal Verbs