Like Alan says, you have to watch out for these problems. And it helps if you know how polarization varies across the sky. Go outside and make a 'gun' with your hand. Point the 'barrel' - your index finger - at the sun and rotate your wrist. The 'trigger' - your thumb - will trace the path of maximum polarization, which is a ring at 90ยบ to the direction of the sun.
With the sun at your back, this ring will be appear as a horizontal band in the sky. Its height will depend on the height of the sun. If the sun is directly overhead then the ring will be along the horizon. If it's near sunrise or sunset then the ring will be an arch from north to south. Here's what it looks like with the sun behind me at an intermediate height...
Normally one wouldn't include this much sky, so your image would look more like this -
So there's no visible band - but there's also no point in using a polarizing filter as the effect is minimal.
The problem is worse when the sun is to your left or right. Now the band of maximum effect will slant across your image like this...
So the most important rules when using a CPL with an UWA lens is to know how polarization works and to look for unwanted effects.