A case perhaps for harmless pursuits (5,6)

I believe the answer is:

paper chases

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'a case perhaps' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'harmless pursuits' is the wordplay.
'harmless' becomes 'paper' (I can't justify this - if you can you should give a lot more credence to this answer).
'pursuits' becomes 'chases' ('chase' can be a synonym of 'pursuit').
'paper'+'chases'='PAPER-CHASES'

'for' acts as a link.

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I've seen this clue in The Globe and Mail.

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