Hold up of potted lobster (7)
I believe the answer is:
bolster
'hold up' is the definition.
(I know that bolster is a more specific form of prop)
'potted lobster' is the wordplay.
'potted' is an anagram indicator (potted can mean drunk).
'lobster' anagrammed gives 'BOLSTER'.
'of' is the link.
(Other definitions for bolster that I've seen before include "Large pillow" , "Support - strengthen" , "Shore up" , "Extended pillow" , "Chisel - long cushion" .)