The most common and most likely answer to this crossword clue is the 11 letter word STOCK-STILL
I've seen this crossword clue in The Times
S
T
O
C
K
-
S
T
I
L
L
Buddy explains!
The straight part
We know that "like a statue" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case like a statue = stock-still.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 STOCK-STILL mean?
STOCK-STILL adjective- Absolutely motionless, perfectly still.