Tight one is come to cut back (9)
I believe the answer is:
economise
'cut back' is the definition.
(to cut back is to economise or make savings)
'tight one is come' is the wordplay.
'tight' indicates anagramming the letters (tight can mean drunk).
'one'+'is'+'come'='oneiscome'
'oneiscome' with letters rearranged gives 'ECONOMISE'.
'to' is the link.
(Other definitions for economise that I've seen before include "Make savings" , "save?" , "Cut back on expenses, be thrifty" , "cut costs" , "Keep down costs" .)