Precise demand (5)

I believe the answer is:

exact

I believe this is a double definition.

'precise' is the first definition.
(synonyms)

'demand' is the second definition.
(exacting is a kind of demanding)

(Other definitions for exact that I've seen before include "Explicit" , "totally accurate" , "Faithful" , "far from improvised?" , "accurate in all details" .)

I've seen this clue in The Irish Independent, The Sun, The Daily Express, The Telegraph, the Sydney Morning Herald, The Guardian and The Globe and Mail.

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