Running nude in street, not giving a hoot (12)

I believe the answer is:

uninterested

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'not giving a hoot' is the definition.
I can't tell whether this defines the answer.

'running nude in street' is the wordplay.
'running' indicates anagramming the letters (the letters run around to different places).
'nude'+'in'+'street'='nudeinstreet'
'nudeinstreet' is an anagram of 'UNINTERESTED'.

Can you help me to learn more?

(Other definitions for uninterested that I've seen before include "indifferent" , "Bored" , "Apathetic" , "Not concerned" .)

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