Giant ale I ordered for privates (9)

I believe the answer is:

genitalia

'for privates' is the definition.
(synonyms)

'giant ale i ordered' is the wordplay.
'ordered' indicates anagramming the letters.
'giant'+'ale'+'i'='giantalei'
'giantalei' is an anagram of 'GENITALIA'.

I've seen this clue in The Independent.

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