Minute completed and day ends (5)

I believe the answer is:

diddy

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'minute' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'completed and day ends' is the wordplay.
'completed' becomes 'did' (doing is a kind of completing).
'and' means one lot of letters go next to another.
'ends' suggests removing the centre.
'day' with its centre taken out is 'dy'.
'did'+'dy'='DIDDY'

Can you help me to learn more?

(Other definitions for diddy that I've seen before include "Little" , "fool" .)

I've seen this clue in The Guardian.

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