The most common and most likely answer to this crossword clue is the 1 plus 5 plus 2 plus 4 letter word A HEART OF GOLD
I've seen this crossword clue in The Times
A
H
E
A
R
T
O
F
G
O
L
D
Buddy explains!
The straight part
We know that "What kind people possesses" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what kind people possesses = a heart of gold.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.