Fine battle broken up becomes dirty (10)

I believe the answer is:

fleabitten

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'dirty' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'fine battle broken up' is the wordplay.
'broken up' indicates an anagram.
'fine'+'battle'='finebattle'
'finebattle' is an anagram of 'FLEABITTEN'.

'becomes' acts as a link.

Can you help me to learn more?

(Another definition for fleabitten that I've seen is " moth-eaten?".)

I've seen this clue in The Irish Times.

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