Fine Gael lost both of their seats in the Tipperary constituency last time out when Tom Hayes and Noel Coonan failed to get re-elected.
It remains to be seen if they would throw their hat into the ring again.
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Clonmel based County Councillor Michael Murphy contested the 2011 General Election for Fine Gael.
Speaking to Fran Curry on Tipp Today he was non-committal on whether or not he would put his name forward.