A fool, silly to be so unsociable (5)

I believe the answer is:

aloof

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'so unsociable' is the definition.
'aloof' can be an answer for 'unsociable' (I've seen this in another clue). I'm not sure about the 'so' bit.

'a fool silly' is the wordplay.
'silly' indicates an anagram.
'fool' anagrammed gives 'loof'.
'a'+'loof'='ALOOF'

'to be' acts as a link.

Can you help me to learn more?

(Other definitions for aloof that I've seen before include "Indifferent - by oneself" , "apart from all else" , "Socially detached" , "Showing detached attitude" , "Distant, uninvolved" .)

I've seen this clue in the Evening Standard.

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