A politician's current measures (4)
I believe the answer is:
amps
'current measures' is the definition.
(units of electrical current)
'a politician's' is the wordplay.
'politician's' becomes 'MP's' (Member of Parliament).
'a'+'mps'='AMPS'
(Other definitions for amps that I've seen before include "Units of electrical power" , "Spam (anag)" , "Current measures" , "concert gear" , "'Units of electric current, in short (4)'" .)