Cork is no longer included in Met Eireann's yellow weather warning following an update by the forecaster.
Between 30mm and 50mm of rainfall was expected but the alert has been stood down for the southern county.
The warning remains in place for counties in Connacht as well as Kerry, Clare and Donegal.
Forecasters are warning of the possibility of flooding over the next 24 hours.
A status yellow rainfall warning is in place for Connacht, Donegal, Clare, Cork, Kerry and Limerick.
Up to 80 millimetres of rain is expected to fall before the warning ends at six o'clock tomorrow morning.
Cathal Nolan, from the Midland Weather Channel, said people need to be careful while driving.
He said: "Certainly through parts of the Atlantic coastal counties especially through Connemara, through north Mayo and pushing up towards Donegal are likely to see some very heavy spells of rain.
"The rain in that area will certainly lead to some problems on the road, in terms of surface water, and will also bring with it the risk of localised flooding."
Rain through much of the west and north of the country today, persistent and heavy at times. It will be drier in the east and south with just a few outbreaks of rain. Highest temperatures of 16 to 20 degrees and it will be breezy. pic.twitter.com/jW5hNmJlOT— Met Éireann (@MetEireann) August 30, 2019