Like the Sphinx, reportedly, if accepted (11)
I believe the answer is:
weatherworn
'like the sphinx' is the definition.
I can't judge whether this defines the answer.
'reportedly if accepted' is the wordplay.
'reportedly' shows a homophone (sound like).
'if' becomes 'whether' (synonyms).
'accepted' becomes 'worn' (I can't justify this - if you can you should give a lot more credence to this answer).
'whether' is a homophone of 'weather'.
'weather'+'worn'='WEATHERWORN'
Can you help me to learn more?
I've seen this clue in The Independent.
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