The noun SKIN GRAFT has 1 sense: 1  1. a piece of skin taken from a donor area and surgically grafted at the site of an injury or burn. 2  Meaning: 3  A piece of skin taken from a donor area and surgically grafted at the site of an injury or burn. 4  Classified under: 5  Nouns denoting body parts. 6  Hypernyms (skin graft is a kind of...):