The most common and most likely answer to this crossword clue is the 7 letter word CABEZON
C
A
B
E
Z
O
N
Buddy explains!
The straight part
We know that "big fish" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case big fish = cabezon.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.
What does CABEZON mean?
CABEZON noun- A California fish (Scorpaenichthys marmoratus), allied to the sculpin.