Prickly plant bugs horse terribly (5,4)

I believe the answer is:

gorse bush

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'prickly plant' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'bugs horse terribly' is the wordplay.
'terribly' indicates an anagram.
'bugs'+'horse'='bugshorse'
'bugshorse' with letters rearranged gives 'GORSE BUSH'.

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I've seen this clue in The Irish Times.

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