WordNet sense 1 (the tissue forming the hard outer layer (of e.g. a fruit)):

peel, rind

WordNet sense 2 (a natural protective body covering and site of the sense of touch):

cutis, tegument

WordNet sense 3 (climb awkwardly, as if by scrambling):

clamber, scramble, shin, shinny, sputter, struggle, shin

WordNet sense 4 (body covering of a living animal):

hide, pelt

WordNet sense 5 (bruise, cut, or injure the skin or the surface of):

scrape

WordNet sense 6 (remove the bark of a tree):

bark

WordNet sense 7 (strip the skin off):

pare