Crossword Genius

Cliff caught worn scrap of cloth (4)

Ross

I believe the answer is:

crag

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

'cliff' is the definition.
(crag is a kind of cliff)

'caught worn scrap of cloth' is the wordplay.
I cannot really see how this works, but
'caught' could be 'c' (cricket abbreviation) and 'c' is located in the answer.
'scrap' could be 'rag' (both can mean a piece of material) and 'rag' is present in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for crag that I've seen before include "Avant-garde" , "Rough, steep rock face" , "Steep rock, peak" , "Steep, overhanging rock" , "Steep, rugged peak" .)

I've seen this clue in The Times.
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