One slightly adjusting tea, we hear, with extra milk? (7)

I believe the answer is:

tweaker

'one slightly adjusting' is the definition.
(someone making tweaks)

'tea we hear with extra milk?' is the wordplay.
'we hear' indicates a 'sounds like' (homophone) clue.
'with extra milk?' becomes 'weaker' (as in a weaker cup of tea).
'tea' is a homophone of 't'.
't'+'weaker'='TWEAKER'

I've seen this clue in The Times.

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