Hi, it's possibly not the most common choice of word ('wag' might be more common), but yes you can use 'whisk' in the sense of moving very quickly in a circular motion. In the way that you do when you whisk an egg or mixture of food. 'Flick' is one rapid movement in one direction, so a bit different to 'whisk'.
By the way, in your example sentence the verb in 3rd person should be 'whisks' (or 'whisked' if the sentence is in the past tense).