Displeasure with a bad half of beer (5)

I believe the answer is:

anger

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'displeasure' is the definition.
(I've seen this in another clue)

'with a bad half of beer' is the wordplay.
'with' is a charade indicator (letters next to each other).
'a bad' becomes 'ang' (I can't justify this - if you can you should believe this answer much more).
'half of' indicates taking half.
'beer' halved is 'er'.
'ang' next to 'er' is 'ANGER'.

Can you help me to learn more?

(Other definitions for anger that I've seen before include "Strongly annoy" , "Strong displeasure" , "Range (anag)" , "Spleen" , "Irk" .)

I've seen this clue in the Evening Standard.

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