Crossword Genius

I think mice often run at the very last moment (2,3,4,2,4)

Ross

I believe the answer is:

in the nick of time

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

'at the very last moment' is the definition.
I can't tell whether this definition defines the answer.

'i think mice often run' is the wordplay.
'run' is an anagram indicator.
'think'+'mice'+'often'='thinkmiceoften'
'thinkmiceoften' is an anagram of 'nthenickoftime'.
'i'+'nthenickoftime'='IN THE NICK OF TIME'

Can you help me to learn more?

(Other definitions for in the nick of time that I've seen before include "not a moment too soon" , "almost, but not quite, too late" , "at the eleventh hour" , "at last possible moment" , "at the critical moment" .)

I've seen this clue in the Sydney Morning Herald.
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