Possible Clues:

• Opposite of dry, as skin
• Like a lot of fish, sole turns north to island
• Like auto crankcases
• Like a mechanic's hands
• Like some hair applications
• Unctuous and regularly dropping out socially
• One might get five hundred greasy such on a plate
• Daughter leaves table mat covered in grease
• Like a freshly prepped baseball mitt, perhaps
• What goes under cakes shedding topping that's greasy