The most common and most likely answer to this crossword clue is the 6 plus 7 letter word GUIDED MISSILE
I've seen this crossword clue in The Daily Telegraph
G
U
I
D
E
D
M
I
S
S
I
L
E
Buddy explains!

The straight part
We know that "could bring a shattering experience" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case could bring a shattering experience = guided missile.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.