Looks cool, however the sun is very blinding, would love a version without it

Thanks so much! I really appreciate it, if I didn't receive a reply from you I was planning to quit on adding the effect, but now that you told me how to do it I'll be implementing it soon. Thanks a ton!

As you can see they aren't actually moving in a circle it just hopefully looks like they are and is a very quick and easy effect to reproduce, the thing which will take time is getting values which don't give you a jarring amount of movement but aren't so subtle that you barely notice anything.

Hey, so it was a while since I made this so I might be mis-remembering!

1) Mask the cloud layer
2) Duplicate it - you now have two layers 1 & 2.
3) Hide 2 for the time being, take 1 (this will be the top layer) set a keyframe at the beginning for scale, rotation and opacity - all default values.
4) Go to the end of the animation (in this case 5 seconds in) keyframe your desired rotation and opacity to 0. For this animation I actually made the layers 3D to help with the rotation I then set the following values for each axis: x -2, y +13, z +1.5. You now have the clouds rotating and fading out.
5) Go to layer 2 and now start with the keyframes you ended on for layer 1 and end on the default rotation values and 100% opacity. You will then have the same start and end point to allow the animation to loop.
6) Halfway through the animation (when the 2 layer animations intersect) you may want to add a blur effect to ease the transition - I just added a CC radial blur.

How did you get the clouds to move like that? I'm making a similar wallpaper and would love to add that same exact affect of clouds moving in a circular pattern.