Removal of excess fat in the upper lid leads to a condition called "A frame deformity" this creates a very skeletonized look. the best treatment is reconstruction with fat grafting.
Removal of skin from the upper lid could be a difficult problem. Skin grafting is an asnwer but will not yield a good cosmetic result. If there is no corneal irritation and the eye closure is not affected, I would recommend to do the fat grafting first. Best of luck!

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