Everyone stuck in city (nearly all) -- notice a yen to pack up (4,2,1,3)
I believe the answer is:
call it a day
'pack up' is the definition.
(to call it a day is to finish or pack up)
'everyone stuck in city nearly all notice a yen' is the wordplay.
'everyone' becomes 'all' (all people).
'stuck in' indicates putting letters inside.
'nearly all' means to remove the last letter (most but not all of the word).
'notice' becomes 'ad' (both can mean an advertisement).
'yen' becomes 'y'.
'city' with its final letter taken off is 'cit'.
'all' going into 'cit' is 'callit'.
'callit'+'ad'+'a'+'y'='CALL IT A DAY'
'to' is the link.
(Other definitions for call it a day that I've seen before include "Stop work" , "sign off" , "Abandon work for now" , "pack up" , "announce decision to quit" .)