For this, you are going to need TWO images. A linticular print is actually two images. Think of it as a 2 cell animation, because that is exactly what is behind the concept.
For image 1, create a scene in DAZ or Poser. You'll want it high enough resolution you can print it (my suggestion is 1500px by 1500px minimum). Make it square, because the product I'll tell to use only creates 5x5 inch square prints.
As you're creating it, think of what you want to move. As you will see in the video I uploaded to my gallery, I created my first image with the eyes all the way to the left as though the character was looking to his side. However, you can choose whatever part you want. Here some suggestions...
Puckering Lips for a Smooch
A motorcycle or bicycle popping a wheelie
Jumping in the air
Nodding the head
A flickering flame
A Car Flashing Its Lights
Your idea should be a simple movement that doesn't look out of place for this subtle movement.
Once you've created image 1, render it and end the file name with -1 as this will be your first of 2 images. Make sure you save it as a jpeg, sRGB color space, 300dpi.
For image 2, take caution not to move the overall figure. For example, if your animated print is going to have car lights biink on and off, you do NOT want the car, camera or anything else in the scene to move.
Now, add your change for image 2 taking in to account what I just said.
Render it with -2 at the end of the file name.
Now, view both image 1 and 2 alternately. (I do this in file manager with preview set.) You should see your desired effect basically on your image previews.