Crossword Genius

Setter's quick to get initial bit of unguent off the cuff (9)

Ross

I believe the answer is:

impromptu

I'm a little stuck... Click here to teach me more about this clue!

'off the cuff' is the definition.
(I've seen this before)

'setter's quick to get initial bit of unguent' is the wordplay.
I cannot quite see how this works, but
'setter's' could be 'im' (referring to the crossword setter) and 'im' is present in the answer.
'quick' could be 'prompt' (synonyms) and 'prompt' is found in the answer.
A single letter 'u' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for impromptu that I've seen before include "Unscripted" , "Ad hoc: spontaneous-sounding musical piece mastered by Schubert" , "Piano piece" , "On the spur of the moment" , "Extempore" .)

I've seen this clue in The Telegraph.
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