Crossword Genius

Pairs cool off in ancient place above Athens (9)

Ross

I believe the answer is:

acropolis

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'athens' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for acropolis that I've seen before include "classical site" , "Imposing building" , "high point" , "Citadel of ancient Greece" , "Greek tourist spot" .)

I've seen this clue in The Telegraph.
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