Lobster demolished cushion (7)
I believe the answer is:
bolster
'cushion' is the definition.
(bolster is a kind of cushion)
'lobster demolished' is the wordplay.
'demolished' is an anagram indicator.
'lobster' is an anagram of 'BOLSTER'.
(Other definitions for bolster that I've seen before include "Long thick pillow" , "Reinforce; a cushion" , "Provide reinforcement" , "support for head after retiring" , "Support - strengthen" .)