A rhyme is troublesome (8)

I believe the answer is:

perverse

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'troublesome' is the definition.
Both the definition and answer are adjectives. Maybe there's a link between them I don't understand?

'a rhyme' is the wordplay.
'a' becomes 'per' (eg 'one a day' means 'one per day').
'rhyme' becomes 'verse' (synonyms).
'per'+'verse'='PERVERSE'

'is' acts as a link.

Can you help me to learn more?

(Other definitions for perverse that I've seen before include "Deviant" , "Disposed to oppose and contradict" , "Wrongly determined" , "Obstinately wrong-headed" , "It's wrong" .)

I've seen this clue in The Times.

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