I also get the shiny skin, especially on my RSD limbs (both arms and left leg). It sometimes looks as though my skin is really grey or matallic as it is so discoloured.
My PM Doctor mentioned it once and said that it is often caused from poor blood circulation and is similar to the colour changes that we get.
I really hate it when my skin goes like that, especially in my hands as it looks so strange and I can't 'hide' it!
Sorry that you are having to deal with this also - just know that you aren't alone and that we understand what you are going through!