The most common and most likely answer to this crossword clue is the 2 plus 3 plus 4 letter word BE ALL EYES
B
E
A
L
L
E
Y
E
S
More clues leading to the result BE ALL EYES
Buddy explains!
The straight part
We know that "look agog" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case look agog = be all eyes.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.