A row involving Irish transport organisation (7)
I believe the answer is:
airline
'transport organisation' is the definition.
(I've seen this before)
'a row involving irish' is the wordplay.
'row' becomes 'line' (I've seen this before**).
'involving' indicates putting letters inside.
'irish' becomes 'ir' (abbreviation).
'a'+'line'='aline'
'aline' placed around 'ir' is 'AIRLINE'.
(Other definitions for airline that I've seen before include "EasyJet, for example" , "Transport organisation" , "SAS perhaps" , "Company operating flying machines" , "Company providing scheduled flights" .)