Crossword Genius

Involved tea in complaint at restaurant (6,3)

Ross

I believe the answer is:

eating out

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'involved tea in complaint at restaurant' is the definition.
I can't tell whether this definition defines the answer.

'involved tea in complaint' is the wordplay.
'involved' is an anagram indicator (involved can mean confusing or complex).
'complaint' becomes 'gout' (gout is a kind of disease).
'tea' anagrammed gives 'eat'.
'eat'+'in'+'gout'='EATING OUT'

Can you help me to learn more?

(Other definitions for eating out that I've seen before include "Dining in a restaurant" , "Forgoing home cooking" , "Patronising a restaurant" .)

I've seen this clue in The Daily Express.
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