If you need a property at a Component, you can use the [SpineSkin]
property drawer just like [SpineAnimation]
:
[SpineSkin]
public string skinName;
If you want to iterate through skins manually, just use
SkeletonData skeletonData; // = skeletonAnimation.Skeleton.Data;
..
ExposedList<Skin> skins = skeletonData.Skins;
foreach (Skin s in skins) {
string skinName = s.Name;
...
}