Trooper left ragtag army in Irish county (10)

I believe the answer is:

cavalryman

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'trooper' is the definition.
(synonyms)

'left ragtag army in irish county' is the wordplay.
'left' becomes 'l' (common abbreviation).
'ragtag army' becomes 'ryma' (I am not sure about this - if you are sure you should believe this answer much more).
'in' indicates putting letters inside.
'irish county' becomes 'cavan' (County Cavan in Ireland).
'l'+'ryma'='lryma'
'lryma' going inside 'cavan' is 'CAVALRYMAN'.

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(Other definitions for cavalryman that I've seen before include "Mounted soldier" , "Horse soldier" .)

I've seen this clue in The Times.

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