Do a search for "peristaltic pump" tubing. PS pumps put the tubing used through thousands of pinch/relax cycles per day. Of course, this also is what causes such pumps to experience failures within 6 months of continuous use, even with the best available hoses. The PVC you are using will probably develop fatigue cracks in a fairly short number of cycles, even if you could get it to rebound.
You need to switch to a rubber (elastomer) material, more like EPDM, Santoprene, or even plain old surgical tubing. Any of these materials will give you many thousands, probably 100's of thousands of cycles, before fatigue cracks start showing up and the hose starts leaking. Medical types have switched to the PVC tube, because it is easier to get the material past regulators (fewer additives used in their manufacture) and also the tubes hold up better to sterilization. But the majority of med devices are used for at most a few dozen cycles, then disposed of.
If you really must have the PVC tube (perhaps for the transparency of the tube?), then do as Greg suggests (create a mechanical means to reshape the tube with each cycle), or wrap the o.d. of the PVC tube with a section of rubber tubing, and use a clamp that fits the new larger o.d. The rubber tubing will "bounce back" better after pinching, and hopefully keep squeezing the PVC back into shape for enough cycles to suit you. The PVC will only be obscured over a short area within the pinch clamp.