We will discuss the construction on new Type II compact ancient compact solutions to the  Yamabe flow.  Our solutions are rotationally symmetric and converge, as $t \to -\infty$,  to a tower of N spheres. Their curvature operator changes sign. Our technique may be viewed as a  parabolic analogue of  gluing  two  exact solutions to the rescaled equation, that is the spheres, with narrow cylindrical necks to obtain a new ancient solution to the Yamabe flow.