Missed tea coming out of coffee cup (9)
I believe the answer is:
demitasse
'coffee cup' is the definition.
(demitasse is a kind of coffee cup)
'missed tea coming out' is the wordplay.
'coming out' is an anagram indicator.
'missed'+'tea'='missedtea'
'missedtea' anagrammed gives 'DEMITASSE'.
'of' is the link.
(Other definitions for demitasse that I've seen before include "Coffee-cup" , "little cup" , "Small cup for black coffee" .)