A room you'll want Mr Livingstone out of! (7)
I believe the answer is:
'a room' is the definition.
(kitchen is a kind of room)
'you'll want mr livingstone out of' is the wordplay.
I cannot really understand how this works, but
'mr' could be 'itch' and 'itch' is found within the answer.
'livingstone' could be 'ken' (politician Ken Livingstone) and 'ken' is located in the leftover letters.
No letters remain.
This may be the basis of clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for kitchen that I've seen before include "Cookhouse" , "Where heat's to be stood" , "where food is a concern" , "part of house" , "food prepared here" .)