The most common and most likely answer to this crossword clue is the 1 plus 3 plus 3 plus 4 plus 2 plus 1 plus 4 letter word A CAT MAY LOOK AT A KING
I've seen this crossword clue in The Times
A
C
A
T
M
A
Y
L
O
O
K
A
T
A
K
I
N
G
Buddy explains!

The straight part
We know that "Saw" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case saw = a cat may look at a king.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.