The most common and most likely answer to this crossword clue is the 8 letter word VIBRATOR
I've seen this crossword clue in Financial Times
V
I
B
R
A
T
O
R
More clues leading to the result VIBRATOR
Buddy explains!

The straight part
We know that "something to make you quiver" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case something to make you quiver = vibrator.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 VIBRATOR mean?
VIBRATOR noun- A device that vibrates or causes vibration.