Deserve a new remit (5)
I believe the answer is:
merit
'deserve' is the definition.
(I know that deserve can be written as merit)
'a new remit' is the wordplay.
'a new' indicates an anagram.
'remit' anagrammed gives 'MERIT'.
(Other definitions for merit that I've seen before include "Goodness" , "Value" , "Earn" , "Have a right" , "Deserve or warrant" .)