Brief warning gives little time for action (5,6)

I believe the answer is:

short notice

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'little time for action' is the definition.
I know nothing about this answer so I can't tell whether this works.

'brief warning' is the wordplay.
'brief' becomes 'short' (synonyms).
'warning' becomes 'notice' (I've seen this before).
'short'+'notice'='SHORT NOTICE'

'gives' is the link.

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I've seen this clue in The Irish News.

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