More Poor Paddy, without periodically dodgy line one hears (8)

I believe the answer is:

paltrier

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'more poor paddy without periodically dodgy' is the definition.
I can't judge whether this defines the answer.

'line one hears' is the wordplay.
'line' becomes 'pal' (I can't justify this - if you can you should believe this answer much more).
'one hears' becomes 'trier' (I've seen this before).
'pal'+'trier'='PALTRIER'

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