Wild dingos, some short of round bits (9)

I believe the answer is:

smidgeons

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'bits' is the definition.
(I have seen 'tiny bits' mean 'smidgeons' so perhaps 'bits' could also mean 'smidgeons')

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for smidgeons that I've seen before include "Informally, very small amounts" , "tiny bits" .)

I've seen this clue in The Independent.

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