The most common and most likely answer to this crossword clue is the 16 letter word EARTH-SHATTERING
I've seen this crossword clue in The Times
E
A
R
T
H
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S
H
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G
More clues leading to the result EARTH-SHATTERING
Buddy explains!

The straight part
We know that "What could give the RA a big shock" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case what could give the ra a big shock = earth-shattering.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.