I don't find any of these uses of "rabid" very humorous.
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messier42She was rabid at the club ( she danced enthusiastically)The dog rabidly bit the bulgar. He rabidly started studying math at the last minute before the exam starts. (I just wanted to describe it in funny way)They don't sound at all natural to me. The online dictionary gives as an example "a rabid feminist", meaning "extreme, fanatical."