Publicity she wrongly associated with Brummie's sticker (8)

I believe the answer is:

adhesive

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'sticker' is the definition.
(I've seen this before)

'publicity she wrongly associated with brummie's' is the wordplay.
'publicity' becomes 'ad' (advert).
'wrongly' indicates an anagram.
'associated with' says to put letters next to each other.
'brummie' becomes 'ive' (I can't explain this - if you can you should give a lot more credence to this answer).
'she' anagrammed gives 'hes'.
'ad'+'hes'+'ive'='ADHESIVE'

Can you help me to learn more?

(Other definitions for adhesive that I've seen before include "very clingy" , "What a sticker" , "Binding" , "doing some bonding" , "Hide vase (anag)" .)

I've seen this clue in The Guardian.

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