[humblegunner]

Kitty keeps turning counter-clockwise.

Maybe I have a mental problem.

[Brett66]

I can only perceive a clockwise motion. hmmmm.

[Slings and Arrows]

The comments at the source link have some tips that might help.

[Chipper]

Turns clock-wise to me.

[fish hawk]

works for me but I don’t even have to close my eyes, I can make it to either way. I’ve seen this same thing before only it was a ballet dancer.

[dforest]

You have to close your eyes and give it about 15 seconds imagining it going the other direction.

[Hot Tabasco]

focus on the head, thats what worked for me........

[Hot Tabasco]

Yike, every time I go back to the pic, it’s now going in the direction that I last viewed it.......

[Little Ray]

I could only see counterclockwise, too. But, based on a comment at the site I tried this:
Look below the image, holding in your peripheral vision.

I was able to switch directions pretty much at will.

[Eaker]

Maybe I have a mental problem.

Duh.

[Mercat]

My kitty keeps turning clockwise.

[AFPhys]

I am as mentally defective as you are, apparently, trying multiple times.

[Darksheare]

I had to let my eyes unfocus first before returning to the image.

[Gandalf_The_Gray]

Same here but I'm blind in one eye.

Those "magic lens" pictures don't work for me either (and of course 3-D movies are a waste of time and money). I spent the last 15 years of my career doing solid modeling on CAD/CAM systems, life is funny sometimes...

Regards,
GtG