Tolerate stew of Kitchen's missing chicken (5)
I believe the answer is:
stick
'tolerate' is the definition.
(I've seen this before)
'stew of kitchen's missing chicken' is the wordplay.
'stew of' is an anagram indicator (I've seen this in other clues).
'missing' suggests deleting specific letters.
'chicken' becomes 'hen' (hen is a kind of chicken).
'kitchens' with 'hen' taken out is 'kitcs'.
'kitcs' is an anagram of 'STICK'.
(Other definitions for stick that I've seen before include "Switch < put up" , "Adhere - cane" , "Cane; criticism" , "Staff - criticism" , "Baton; gum" .)