Improved PM began differently (7)
I believe the answer is:
amended
'improved' is the definition.
('amend' can be a synonym of 'improve')
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for amended that I've seen before include "Rectified" , "Correct, improve" , "Modified for the better" , "Put right" , "Made changes to correct" .)