The part one possibly notices (7)

I believe the answer is:

section

'the part' is the definition.
(section is a kind of part)

'one possibly notices' is the wordplay.
'one possibly' is an anagram indicator.
'notices' is an anagram of 'SECTION'.

(Other definitions for section that I've seen before include "surgical procedure" , "Divide; part" , "Subdivision of a newspaper" , "Segment" , "Element" .)

I've seen this clue in the Evening Standard.

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