Porcelain bottom of mug with area damaged (9)

I believe the answer is:

chinaware

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

'bottom of mug with area damaged' is the wordplay.
'bottom of mug' becomes 'chin' (I can't explain this - if you can you should believe this answer much more).
'with' becomes 'w' (abbreviation).
'damaged' indicates an anagram.
'w'+'area'='warea'
'warea' is an anagram of 'aware'.
'chin'+'aware'='CHINAWARE'

Can you help me to learn more?

(Other definitions for chinaware that I've seen before include "porcelain" , "Dishes etc" , "what to put on table" , "Ceramic articles" , "Ceramics" .)

I've seen this clue in The Times.

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