Hi finster:
You're right, fleece underwear works under a drysuit where it can trap air. I wear Polartec fleece under my drysuit sometimes. I got mine from a camping store too.
Hi Ladydiver:
Like you, I'll sometimes wear my Polartec diveskin under my wetsuit. It does help the neoprene slip on easier and it gives sun protection when I take the neoprene off. The thick Polartec fleece from my drysuit would do more harm than good under a wetsuit, but the diveskin has some benefit.
The question about the diveskin though is how much benefit does it give and why does it work? IMHO when you buy a "Polartec" diveskin, the Polartec inner lining does little else but help the skin slide on more easily (for the reasons I mentioned above in earlier posts).
A Polartec diveskin in the water works like a windbreaker in the air, only less so. A windbreaker works by keeping "fresh" cold air away from your skin so your body doesn't have to continuously try to warm new air. It reduces the "wind chill factor". It doesn't provide any real insulation from the actual cold temperatures itself, but the air it traps does provide some insulation. Well made Polartec diveskins have a water impermeable layer between the outer shell and the thin Polartec lining. (Cheap skins might only have the torso or other limited areas lined with the middle impermeable layer.) IMO it's the middle "windbreaker" layer in the skin that keeps you warmer, not the Polartec. The Polartec in a diveskin works like the acetate lining in a windbreaker. It helps the skin slide on more easily, but adds little insulation. Its fibers might slow water movement a little, but that water dosen't provide any insulation. You've just reduced the "wind chill factor" of water against the skin without adding appreciable insulation. My old SSA diveskin without the Polartec inner layer kept me as warm as my Polartec skin.
IMO, Polartec diveskins have their place, but they don't keep you nearly as warm as a neoprene wetsuit that has both the "windbreaker" function and provides insulation. And if a diveskin interferes with the fit of a wetsuit and increases the water exchange under the wetsuit, it can actually make you colder, so they should be used with care.
Just my 2¢,
Bill