This trick is usually done on flat ground and is almost non-existent in the world of skateboarding today. There are several variations including the no-comply flip and no-comply big spin.
A variation of this trick is performed by stepping off the board with your front foot, and popping the tail up off the ground while turning your body either frontside or backside 180 degrees, returning your front foot to the board once you've rotated. On the east coast, this is known as a "43", which is a slight variation of a no-comply. The 43 can be combined with other tricks; for instance, a 43-shifty, where the board is swung back around 180 degrees with the back foot, following the original 180 degree pivot.