It isn't correct English. I suppose it should say "they are going after me". Most probably it means that they are pursuing you or hunting you down.
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It isn't correct English. I suppose it should say "they are going after me". Most probably it means that they are pursuing you or hunting you down. E.g. "I had another letter from the Inland Revenue. They are going after me for that £10,000 tax bill I never paid". It is also possible that you are doing things in turn, and their turn is after yours. For example, "We're all starting the race at