Pulsate rapidly from a cavity in the roof of the mouth (9)

I believe the answer is:

palpitate

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'pulsate rapidly' is the definition.
'palpitate' can be an answer for 'pulsate' (I've seen this before). I'm not certain of the 'rapidly' bit.

'a cavity in the roof of the mouth' is the wordplay.
'a cavity' becomes 'pit' ('pit' can be a synonym of 'cavity').
'in the' means one lot of letters goes inside another.
'roof of the mouth' becomes 'palate' (synonyms).
'pit' going inside 'palate' is 'PALPITATE'.

'from' is the link.

Can you help me to learn more?

(Other definitions for palpitate that I've seen before include "quiver" , "Throb rapidly" , "flutter" , "Pulsate" , "Shake, tremble" .)

I've seen this clue in the Sydney Morning Herald.

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