Crossword Genius

Delivering pure half-cut diamonds (though unable to buy them?) (15)

Ross

I believe the answer is:

underprivileged

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'unable to buy them?' is the definition.
I can't tell whether this definition defines the answer.

'delivering pure half-cut diamonds' is the wordplay.
'half-cut' is an anagram indicator (half-cut can mean drunk).
'diamonds' becomes 'd' (abbreviation in bridge say).
'delivering'+'pure'='deliveringpure'
'deliveringpure' anagrammed gives 'underprivilege'.
'underprivilege'+'d'='UNDERPRIVILEGED'

'though' is the link.

Can you help me to learn more?

(Other definitions for underprivileged that I've seen before include "Poor" , "In need" , "no advantages" .)

I've seen this clue in The Independent.
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