Quick to do something about a drip (5)

I believe the answer is:

rapid

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'quick' is the definition.
(synonyms)

'about a drip' is the wordplay.
'about' indicates anagramming the letters.
'a'+'drip'='adrip'
'adrip' with letters rearranged gives 'RAPID'.

'to do something' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

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(Other definitions for rapid that I've seen before include "Speedy (5)" , "Waterway where the current runs very fast" , "Speedy, quick" , "Fast, speedy" , "Swift, speedy" .)

I've seen this clue in the Evening Standard.

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