I'm using the CPL (which is a B+W Kaesemann bought new from B&H) directly in front of the lens.
And I've tried SkipD's test, and it is really a circular polarizer (but out of curiosity, wouldn't all filters that you screw on to the lens be circular? I feel stupid asking the question, but I kinda have to now!).
The issue I have with the polarizer is not that it doesn't polarize (I'm pretty sure the polarizing effects work perfectly according to sunlight conditions), but that it renders the image fuzzy when turning it in certain positions.
I'm also pretty sure it's not an issue with focusing either: when I tested it, I tried four positions (90 degrees, 180 degrees, 270 degrees, and 0/360 degrees - the last position which I consider to be the 'original' position, pretty much corresponding to the max polarization effect), and in all but the max polarization effect, part of the image is fuzzy (either the left side or the right side, sometimes even the center of the frame - and along the focus plane). I tested with my 15-85 at 50-60mm, focal lengths where it is considered to normally be quite sharp even wide open. (I know the 15-85 performs unevenly for corner sharpness, but I've used it extensively enough to assume the filter, and not the lens, is the problem.)
What I really want to know is if anyone else ever had such a problem, if I might have gotten a bad copy of a filter (as unlikely as it sounds), in order to buy another with which I hopefully won't have the same problem.