Support lobster production (7)
I believe the answer is:
bolster
'support' is the definition.
(synonyms)
'lobster production' is the wordplay.
'production' indicates an anagram.
'lobster' anagrammed gives 'BOLSTER'.
(Other definitions for bolster that I've seen before include "Strengthen - long pillow" , "Hold up" , "Chisel - long cushion" , "Extended pillow" , "support for head after retiring" .)