Thanks, Erik for summarizing. It is very helpful to have the list below. I have one other
suggestion to add for consideration for those who wish to make a change in terms. Gyre can
be found in Carol’s  “Jabberwocky" and Yeats’  "The Second Coming". It has
the advantage of being one syllable, not used for anything else, and begins with the same
sound as gypsy. Rather capricious, if I do say so myself!  My husband Bob Golder, thinks
that this word is even better than gypsy, because the meaning of the word conveys the
movement. 
Linda
gyre   [jahyuh r]  noun
       1.  a ring or circle. 
2. a circular course or motion.
       3.
Oceanography. a ringlike system of ocean currents rotating clockwise in the Northern
Hemisphere and counterclockwise in the Southern Hemisphere.
On Oct 29, 2015, at 4:24 AM, Erik Hoffman via Callers
<callers(a)lists.sharedweight.net> wrote:
  On the subject of gypsies and language, I've
enjoyed reading the myriad comments, and find myself feeling ambiguous (which I define as
feeling very strongly both ways). And, I know it's been thrashed about and we've a
request for acknowledging that we are unlikely to change any opinions on this. That said:
 
 * I have had this discussion with a number people in the past, about the very strong
negative connotations of the word "Gypsy." Ambivalent as I am, I do think we
should look for a replacement word.
 
 * I thought I'd collect all the words that have been suggested so far (unless I
missed one or two) in one place. Here it is:
        No Hand Turn
        No Hand Allemande (and I do think Allemande comes from "The German," a
dance)
        Dance Around, or Walk Around
        Face to Face Do Si Do
        Bine (binary stars -- snippet below)
        Nose-to-Nose Do Si Do
        Dance Around - or Dance About
        Orbit Around - or Orbit About
        Loop
        Eddy
        Vortex
        Swirl
        Spiral
        Eyes or "Take Eyes"
        Holding Eyes
        Eyeballs
        Facing
        Maypole
        Hands Off
        Face à Face (facey-face...)
        Right (Left) Shoulder (without the G-word)
        Cyclone (though mentioned with a complaint - too "violent")