Possible Clues:

• 'Room at the top for a place for the grease, by the sound of it (6)'
• Territory of Athens in ancient Greece
• Greek region
• Prison name chanted in 'Dog Day Afternoon'
• Prison with a Greek eponym
• New York state prison
• On top of the house in Greece and a bit more
• Greek region and New York prison
• Room high up that overlooks a Greek district
• From Zermatt, I call an area to the south-east