Crossword Genius

Commercial breaks in rhythms of the Greek islands (8)

Ross

I believe the answer is:

cyclades

I'm a little stuck... Click here to teach me more about this clue!

'greek islands' is the definition.
'cyclades' can be an answer for 'islands' (I've seen this before). I am not certain of the 'greek' bit.

'commercial breaks in rhythms' is the wordplay.
'commercial' becomes 'ad' (abbreviation for advertisement).
'breaks in' indicates putting letters inside (inserted letters break into the word).
'rhythms' becomes 'cycles' ('cycle' can be a synonym of 'rhythm').
'ad' placed inside 'cycles' is 'CYCLADES'.

'of the' is the link.

Can you help me to learn more?

(Other definitions for cyclades that I've seen before include "Aegean island group" , "Greek islands in the southern Aegean" , "many islands" , "Island group inc. Naxos" .)

I've seen this clue in the Sydney Morning Herald.
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