Quarrel with little Barnabas (6)

I believe the answer is:

barney

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'quarrel' is the definition.
(I have seen 'Noisy quarrel ' mean 'barney' so perhaps 'quarrel' could also mean 'barney')

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for barney that I've seen before include "Noisy quarrel (informal)" , "Dust-up" .)

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