Overlook British invading chic area of Paris (4,2)

I believe the answer is:

pass by

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'overlook' is the definition.
(I've seen this before)

I don't understand the remainder of the clue.

(Other definitions for pass by that I've seen before include "Leave on one side" , "Ignore, overlook" , "Move along in the vicinity" , "''Cast a cold eye / On life, on death / Horseman ... ... (WB Yeats)" , "Go on and leave alone" .)

I've seen this clue in The Independent.

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