Change for the better? (9)

'change for the better?' is the definition.
(I've seen this before)
'the better?' is the wordplay.
I cannot quite see how this works, but
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is located in the answer.
'better?' could be 'amend' (synonyms) and 'amend' is found within the answer.
The remaining letters 'men' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for amendment that I've seen before include "the fifth one benefiting Uncle Sam's defendants?" , "a bit of a change!" , "Addition or alteration, to a motion or official document, say" , "Corrective treatment" , "Change designed to improve a text" .)
'change for the better' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for amend that I've seen before include "Change, alter" , "Change for the better" , "Change to improve" , "Alter in writing" , "Make small improvements to" .)
'change for the better' is the definition.
(synonyms)
This is the entire clue.
(Other definitions for reform that I've seen before include "Show improvement" , "Change one's ways (for the better?)" , "Mend one's ways" , "Go straight" , "Removal of abuses" .)
'change for the better' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for improve that I've seen before include "Become better" , "Get or make better" , "Train" , "Polish" , "pick up" .)