The most common and most likely answer to this crossword clue is the 5 letter word EDIFY
I've seen this crossword clue in Independent
E
D
I
F
Y
More clues leading to the result EDIFY
- Variable administrators of chess taking step back to improve
- Make divine switch of leaders to illuminate
- Improve the minds of some disenchanted, if youthful characters
- Somewhat relieved if you improve mentally
- Dinner originally provided within the confines of every school
- Man, one flighty but not at heart trivial, to get more faithful
- Instruct to improve journalist in future years, primarily
- Improve condition in mixture of dye
- …to improve, turning chess board round next to finish off Spassky
- Criticised if you accept help to improve the mind?
Buddy explains!

The straight part
We know that "et more faithful" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case et more faithful = edify.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does EDIFY mean?
EDIFY verb- To build, construct.
- To instruct or improve morally or intellectually.