Paint camp party without even sound of shower (3-1-3)

I believe the answer is:

pit-a-pat

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'sound of shower' is the definition.
Both the answer and definition are adverbs. Perhaps they are linked in a way I don't understand?

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for pit-a-pat that I've seen before include "Sound of rain on a window pane?" , "Sound of quick, light steps" , "Light tapping sound" .)

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

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