1. Sleazy, distasteful
|This man has made it into the OED (source)|
Skeeze is first attested in 1989 and is attributed to Sir Mix-a-Lot (of 'I Like Big Butts' fame). It is of uncertain origin (probably because it's a made-up rap word) that is possibly a blend of skank and sleaze. Skank's origin is also uncertain and sleaze is a back-formation from sleazy.
Sleazy as an adjective dates to the mid-1600's and is of unknown origin. There is a noun sleazy that is unrelated which is an abbreviation for Silesia, the Latinized form of a place name in east Germany.
Skeevy apparently originated in the 1970's in Philadelphia and was taken from Italian schifare ("to loathe").