Just a quick update to let you know I solved my problem. In fact it turned out to be quite simple. As soon as I added position:relative to the element I was appending the cluetip to, the style="position:static" thingie went away, the DOM stayed unmodified and the bug disappeard.
Sorry if this was mentioned earlier or in the documentation somewhere, I just thought I'd let you know my story. cheers again, /Anton