Give up hut — wood, it appears rotten (2,7)
I believe the answer is:
do without
'give up' is the definition.
(thesaurus)
'hut wood it appears rotten' is the wordplay.
'appears rotten' indicates anagramming the letters (a broken or rotten ordering of the letters).
'hut'+'wood'+'it'='hutwoodit'
'hutwoodit' with letters rearranged gives 'DO WITHOUT'.
(Other definitions for do without that I've seen before include "Fail to enjoy" , "Don't have" , "Forgo" .)