Bad result for Leinster neighbour (6)

I believe the answer is:

ulster

I'm a little stuck... Click here to teach me more about this clue!

'leinster neighbour' is the definition.
Although both the answer and definition are singular nouns, I can't see how one could define the other.

'bad result' is the wordplay.
'bad' indicates anagramming the letters.
'result' is an anagram of 'ULSTER'.

'for' is the link.

Can you help me to learn more?

(Other definitions for ulster that I've seen before include "Cloak for an Irish province" , "Odd result for the North" , "Loose overcoat - result (anag)" , "Man's overcoat" , "A heavy coat" .)

I've seen this clue in The Sun and The Independent.

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