Greek for 'upper room' (5)

I believe the answer is:

attic

I believe this clue is a double definition.

'greek' is the first definition.
(Attic is an example)

'upper room' is the second definition.
(I've seen this before)

'for' acts as a link.

(Other definitions for attic that I've seen before include "Top apartment" , "28 [GREEK]" , "room with lots of junk?" , "of Greek region" , "cockloft" .)

I've seen this clue in The Telegraph and The Guardian.

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