Bores, not being drunk (5)

I believe the answer is:

sober

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'drunk' is the definition.
Both the definition and answer are adjectives. Maybe they are linked in a way I don't understand?

'bores not' is the wordplay.
'bores' anagrams to 'SOBER'.
However, I'm not clear how this is indicated.

'being' acts as a link.

Can you help me to learn more?

(Other definitions for sober that I've seen before include "Serious or solemn and not drunk" , "Temperate" , "Dignified and serious" , "Teetotal" , "Like a judge?" .)

I've seen this clue in The Irish News.

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