Les, back in the good old days the trio I was in at the time was booked to a festival at which one of the South American Pan Pipe bands was also booked. At one of the venues they played walking ROUND
us as we stood in the middle of the tent. I was intrigued to notice that NONE of them actually played the whole tune but all seemed to be playing short phrases, the over all effect being a continuous melody.
So its been done before, but could be a bit of a sod to rehearse.