A liberal demand on a new statesman (7)
I believe the answer is:
alaskan
'statesman' is the definition.
(someone from the state of Alaska)
'a liberal demand on a new' is the wordplay.
'liberal' becomes 'l' (abbreviation).
'demand' becomes 'ask' (synonyms).
'on' means one lot of letters go next to another.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'a'+'l'+'ask'+'a'+'n'='ALASKAN'
(Other definitions for alaskan that I've seen before include "Citizen of the 49th state of the USA" , "Eg, native of Anchorage" , "Person from state that's not so warm" , "Of a northern US state" , "One from Juneau, say" .)