Isn't he after different composition of music and painting, for example? (3,4,4)

I believe the answer is:

the fine arts

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'isn't he after different composition of music and painting for example?' is the definition.
Although both the answer and definition are singular nouns, I don't understand how they can define each other.

'isn't he after different' is the wordplay.
'different' indicates an anagram (letters placed in a different order).
'isnt'+'he'+'after'='isntheafter'
'isntheafter' with letters rearranged gives 'THE FINE ARTS'.

Can you help me to learn more?

I've seen this clue in The Irish News.

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