The most common and most likely answer to this crossword clue is the 5 plus 3 plus 3 letter word PRIDE AND JOY
P
R
I
D
E
A
N
D
J
O
Y
Buddy explains!
The straight part
We know that "personal delight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case personal delight = pride and joy.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.