Tom set out to write songs (6)

I believe the answer is:

motets

'write songs' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'tom set out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'tom'+'set'='tomset'
'tomset' anagrammed gives 'MOTETS'.

'to' acts as a link.

I've seen this clue in The Mirror.

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