Fights following proposal to make containers for kites? (10,5)

I believe the answer is:

suggestion boxes

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'make containers for kites?' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'fights following proposal' is the wordplay.
I cannot really understand how this works, but
'fights' could be 'boxes' and 'boxes' is found in the answer.
'proposal' could be 'suggestion' (suggestion is a kind of proposal) and 'suggestion' is found in the answer.
No letters remain.
This explanation may well be incorrect...

'to' is the link.

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I've seen this clue in The Independent.

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