From Dictionary of American Regional English, vol. 4, 2002:

skinny malink n also skinamelink, skinamulink, skinny marink, ~ merink, skittamalink [OED2 (at skinny a. 6) 1892 –, "chiefly Sc." SND (at skinny adj. 2) "skinnymalink(ie), skinamalink(ie),... skinnylinky, a thin skinny person or animal"] esp NY A thin or emaciated person; also used as a derog term for a person.

1870 Punchinello 2.27 Upstate NY, I had sent too many of such skinamelinks to the clay banks when I was Gustise of the Peece to allow 'em to fool me much.... [plus many more citations].