Instigate frolicking, in part (6)

I believe the answer is:

prompt

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'instigate' is the definition.
(synonyms)

'frolicking in part' is the wordplay.
'frolicking in' becomes 'prom' (I can't justify this - if you can you should give a lot more credence to this answer).
'part' becomes 'pt' (abbreviation).
'prom'+'pt'='PROMPT'

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(Other definitions for prompt that I've seen before include "Help struggling actor" , "Cue; punctual" , "Bring about; done without delay" , "Spurs do this" , "Quick - cue" .)

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