The most common and most likely answer to this crossword clue is the 7 letter word GENTLER
I've seen this crossword clue in The Daily Telegraph
G
E
N
T
L
E
R
Buddy explains!

The straight part
We know that "more kind" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case more kind = gentler.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 GENTLER mean?
GENTLER adjective- Tender and amiable; of a considerate or kindly disposition.
- Soft and mild rather than hard or severe.
- Docile and easily managed.
- Gradual rather than steep or sudden.
- Polite and respectful rather than rude.
- Well-born; of a good family or respectable birth, though not noble.