Resigned cashier's job in bohemian area of Paris (4,4)
I believe the answer is:
left bank
This clue could be a double definition.
'resigned cashier's job' is the first definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.
'bohemian area of paris' is the second definition.
(the left bank is an area of Paris)
'in' is the link.
(Other definitions for left bank that I've seen before include "intellectual environment?" , "Artistic region of Paris" , "part of Paris" , "artists' quarter" , "arty area" .)