Hello.

In the body morph sliders there are a bunch of "Pose Corrective" morphs.
However using them actually modifies the character and when reset to another pose the changes are kept.
I couldn't find a way to save those morph parameters into a pose like you can do with bone transforms or facial blend shapes.
Is there a way or is it a missing feature?

Sorry that I am not replying with an answer, but it seems that using any of cc4's morphs and creating an IAvatar file from them, only gives you one slider and that slider uses every morph activated in your figure. For me it creates a tongue slider but no teeth or eye, so never works. Cannot believe that such an expensive software as IClone8 is, cannot just add the Morphs you bought for CC4? 

yeah, you're probably right, I haven't seen a way to link the body morphs to a  specific bone rotation
like an adjust Facial profile but for bodies
that would be a neat addition

Morphs in CC are static and intended for Characters development only - not for run-time animations or poses.

For animation in iClone it is possible to convert individual CC morphs to animatable iClone morphs with Morphs Creator.
But only those which deform mesh only. Bones deformation/scaling is not supported for animation with morphs.

When originally developed, Pose Corrective Morphs supposed to work automatically alongside with armature animation.
But that never happened due to resources overhead. So RL left them as reference in CC morphs section.
As mesh morphs, they could be converted to iClone morphs and be manually animated at the timeline or used for poses in iClone.
Animated iClone morphs for characters body cannot be seen or used in CC though.

They should work on the basis that you pay good money for these morphs and therefore allow you to move them over separately through morph creator and not just bundle them into one slider!