For your information, the speaker is the chief editor of a newspaper and "they" refer to columnists.
The worst part about that is they KNOW half of our clicks come from them so they get all diva-like on my ass.
This is the answer that you got on another site: You're right, it's slang (made-up, not a common idiom) and not grammatically correct, so don't try too hard to include it into your vocabulary. A diva is someone who is difficult to deal with and hard to please because they think they are better than other people and have a big ego. So when this person says 'diva-like' it just means acting like a diva.
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zuotengdazuo Is "get on my ***" a set phrase?No, it's rather vulgar slang. These expressions change all the time, as new slang combinations are invented.
zuotengdazuoslangsImpossible! It's slang. It cannot be made plural. Use slang expressions if you feel that you must use a plural.
zuotengdazuo. How can you determine its meaning for sure?An educated guess from the clues in the context, and other similar phrases.