I probably have seen this happen at various times in movies set in eras where people were very obsequious to royalty. The action I am trying to find the word for is a motion of the hand in a kind of circular motion or spiral (generally towards and away from oneself) while bowing towards someone, often while slowly moving backwards.
My first thought was "genuflect" although to me that invokes the image of someone making the sign of the cross (although the dictionary doesn't seem to mention this, or in fact any hand movement - it seems to be closer to bowing then the hand movement) and I am looking for a word without any religious connotations.
My second thought was "flourish" as that seems to be technically correct to some degree in the sense of "a bold or extravagant gesture or action, made esp. to attract the attention of others", but this word seems to have too many meanings that might confuse, and I am not sure anybody would recognize what I was talking about unless I put a lot of context into the sentence with it, or maybe even if I did!