Cook missed tea cup (9)
I believe the answer is:
demitasse
'cup' is the definition.
(demitasse is a kind of cup)
'cook missed tea' is the wordplay.
'cook' indicates anagramming the letters.
'missed'+'tea'='missedtea'
'missedtea' is an anagram of 'DEMITASSE'.
(Other definitions for demitasse that I've seen before include "little cup" , "Coffee-cup" , "Small cup for black coffee" .)