Nice verse became doggerel from that day on (4,5)

I believe the answer is:

ever since

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'from that day on' is the definition.
(I've seen this in another clue)

'nice verse became' is the wordplay.
'became' indicates anagramming the letters (I've seen 'becoming' mean this).
'nice'+'verse'='niceverse'
'niceverse' is an anagram of 'EVER SINCE'.

'doggerel' acts as a link.
This may not be correct. It may belong to another bit of the clue.

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