During my compound days (1989 - 1997) I hunted with an EW Bateman Outback side quiver (with a few modifications), and was always very happy with it. I never liked a bow quiver on my compounds because they made the whole contraption too dang heavy and awkward: Poor balance for shooting, more sources of noise and vibration, more stuff to catch on the brush while I was still hunting, etc. EW Bateman still sells the Outback.
When I went back to traditional in 1997, I found that my recurves were just too light, and that a bow quiver with 6 arrows in it made it more stable to shoot, and quieter too.
I am currently playing around with metal ILF risers, which are quite a bit heavier than wooden recurve risers. If I start hunting with a metal ILF riser, I will probably go back to the Bateman side quiver.