What's written after the conflict hots up (5)

I believe the answer is:

warms

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'hots up' is the definition.
I can't judge whether this definition defines the answer.

'what's written after the conflict' is the wordplay.
'what's written' becomes 'MS' (abbreviation for manuscript).
'after' means one lot of letters go next to another.
'the conflict' becomes 'war' (war is a kind of conflict).
'ms' put after 'war' is 'WARMS'.

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

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