French composer emptied tray, being full (7)
I believe the answer is:
satiety
'full' is the definition.
(thesaurus)
'french composer emptied tray' is the wordplay.
'french composer' becomes 'satie' (French composer Erik Satie, 1866-1925).
'emptied' suggests removing the centre.
'tray' with its centre taken out is 'ty'.
'satie'+'ty'='SATIETY'
'being' is the link.
(Other definitions for satiety that I've seen before include "Boredom" , "Full state" , "What follows overindulgence" , "stuffed" , "Repletion" .)