Satchel searched while taking in part of London (7)

I believe the answer is:

chelsea

'part of london' is the definition.
(Chelsea is an area of London)

'satchel searched while taking' is the wordplay.
'taking' indicates a hidden word (the answer is carried or taken by the clue).
'CHELSEA' is hidden within 'satchel searched while'.

'in' is the link.

(Other definitions for chelsea that I've seen before include "Barracks here" , "London borough with annual Flower Show" , "W. London football club" , "Eg, shoplifter" , "Lace she found in London area" .)

I've seen this clue in The Irish Times.

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