The most common and most likely answer to this crossword clue is the 6 plus 2 plus 6 letter word PEARLS OF WISDOM
I've seen this crossword clue in The Daily Telegraph
P
E
A
R
L
S
O
F
W
I
S
D
O
M
Buddy explains!
The straight part
We know that "insightful advice" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case insightful advice = pearls of wisdom.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.