The most common and most likely answer to this crossword clue is the 12 letter word OVERINFLATED
I've seen this crossword clue in The Guardian
O
V
E
R
I
N
F
L
A
T
E
D
Buddy explains!

The straight part
We know that "too big" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case too big = overinflated.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 OVERINFLATED mean?
OVERINFLATED verb- To inflate excessively; to provide too much inflation
- Inflated; exaggerated