Trump caught in a bad lie, perhaps (5)

I believe the answer is:

rough

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'a bad lie perhaps' is the definition.
I can't tell whether this defines the answer.

'trump caught' is the wordplay.
'trump' becomes 'ruff' (synonyms).
'caught' shows a homophone (sound like) (heard).
'ruff' is a homophone of 'ROUGH'.

'in' is the link.

Can you help me to learn more?

(Other definitions for rough that I've seen before include "Very choppy" , "Rasping" , "The long grass on the golf course" , "Discourteous" , "Imprecise" .)

I've seen this clue in The Independent.

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