Used in the upstate New York area, it comes from the Italian word for disgusting, "scavoni". (Appearently.)
Skeevey means anything that is unappealing, distasteful, creepy, injust, or suspicious.
Noun, "That guy is a total skeeve."
Noun, "This whole thing gives me the skeeves."
Adj, "His grading policy is totally skeevey."
Adj, "How'd you get fired? Your supervisor was skeevtastic, he completly had it in for you!"