Possible Clues:

• The odd germ on a piece of cake from a type of spoon
• Cooked with too much oil or fat
• Leaden pots equally oleaginous
• Half the local food is not tough or oily
• Like foods said to be good for hangovers and bad for skin complexion
• Covered with fat
• Covered in oil
• So dull on the outside but oily
• Unctuous Farmer George given a piece of cake
• Unctuous or ingratiating