From Longman Dictionary of Contemporary Englishbe gunning for somebodybe gunning for somebodyinformalCRITICIZE to be trying to find an opportunity to criticize or harm someoneWhy is he gunning for me? →gun
Examples from the Corpus
be gunning for somebody• Why should he be gunning for me?• As long as we're number 1, everybody will be gunning for us.• Being No. 1, we knew a lot of teamsare gunning for us.