The most common and most likely answer to this crossword clue is the 6 plus 2 plus 6 letter word LISTEN TO REASON
I've seen this crossword clue in The Times
L
I
S
T
E
N
T
O
R
E
A
S
O
N
Buddy explains!

The straight part
We know that "see sense" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case see sense = listen to reason.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.