Coldness trendy ahead of argument (12)

I believe the answer is:

indifference

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'coldness' is the definition.
(thesaurus)

'trendy ahead of argument' is the wordplay.
'trendy ahead of' becomes 'in' (I am not sure about this - if you are sure you should believe this answer much more).
'argument' becomes 'difference' (I've seen this before).
'in'+'difference'='INDIFFERENCE'

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(Other definitions for indifference that I've seen before include "Unconcern" , "Lack of concern" , "Lack of involvement" , "Lack of interest" .)

I've seen this clue in The Times.

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