Leave the pudding, we hear (6)
I believe the answer is:
desert
'leave' is the definition.
(desert can mean to leave or abandon)
'pudding we hear' is the wordplay.
'pudding' becomes 'dessert' (I've seen this before).
'we hear' shows a homophone (sound like).
'dessert' is a homophone of 'DESERT'.
'the' acts as a link.
(Other definitions for desert that I've seen before include "Arid area of sand" , "Leave in the lurch" , "Kalahari, for example" , "See 23" , "Arid region with little or no vegetation" .)