The most common and most likely answer to this crossword clue is the 8 letter word SHIVERED
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More clues leading to the result SHIVERED
Buddy explains!

The straight part
We know that "shook convulsively" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case shook convulsively = shivered.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 SHIVERED mean?
SHIVERED verb- To tremble or shake, especially when cold or frightened.
- To cause to shake or tremble, as a sail, by steering close to the wind.
- To break into splinters or fragments.