But the doctor wouldn't prescribe listening to the wireless for this treatment! (12)

I believe the answer is:

radiotherapy

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'but the doctor wouldn't prescribe listening to the wireless for this treatment' is the definition.
'radiotherapy' can be an answer for 'treatment' (radiotherapy is a kind of treatment). I'm not certain of the remainder of the definition.

'wireless for this treatment' is the wordplay.
'wireless' becomes 'radio' (synonyms).
'for' is a charade indicator (letters next to each other).
'this treatment' becomes 'therapy' (synonyms).
'radio'+'therapy'='RADIOTHERAPY'

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I've seen this clue in The Irish News.

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