Crossword Genius

Lady unclothed has broken more than one bike chain belonging to the Greeks (8)

Ross

I believe the answer is:

cyclades

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

'one bike chain belonging to the greeks' is the definition.
I can't judge whether this defines the answer.

'lady unclothed has broken more' is the wordplay.
'unclothed' says to take the centre.
'has broken' means one lot of letters goes inside another (inserted letters break in).
'more' becomes 'cycles' (I can't justify this - if you can you should believe this answer much more).
The central letters of 'lady' are 'ad'.
'ad' put into 'cycles' is 'CYCLADES'.

'than' acts as a link.

Can you help me to learn more?

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

I've seen this clue in The Times.
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