The most common and most likely answer to this crossword clue is the 3 plus 6 letter word BIG CHEESE
I've seen this crossword clue in The Times
B
I
G
C
H
E
E
S
E
More clues leading to the result BIG CHEESE
- Very important person has enough to prime many mousetraps?
- VIP from Lancashire, perhaps, on jumbo
- For somebody with B, I’ll find two Es hard to take in GCSE
- Hearty, stinking bishop, possibly VIP
- Beige clothes? Not a great deal off for a VIP
- Star — or moon for children?
- VIP that would do for many a mouse?
- Boss from Lancashire, perhaps popular at first
- Cheshire VIP?
- VIP from Caerphilly?
Buddy explains!

The straight part
We know that "VIP" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case vip = big cheese.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.