There are also risks of coastal flooding, and the warning is in place from 10pm Thursday until 12pm Friday.
It comes into force from around 3am on Friday and lasts through until midnight.
Speaking this morning, Met Éireann meteorologist Harm Luijkz said tonight is to become "very windy as Storm Callum arrives".
Storm Callum is now experiencing what is know in the world of meteorology as "bombogenesis", where by a system deepens by more than 24hPa inside a 24hr period. It is developing through the course of Wednesday night and Thursday and working its way slowly towards us over the next 48 hours.
Storm Callum is now swirling off the southwest coast and will deepen rapidly over the course of the next 12 hours, according to Midland weather expert Cathal Nolan. The Borders are likely to feel the worst of the rain.
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However it also warned there was a chance of gusts over 80mph in the Western Isles during the afternoon and evening.
Due to the threat of coastal flooding, Arriva Trains Wales and Network Rail are closing the Swansea to Carmarthen line from 07:00 BST to 11:00 and after 19:00.
However Mr Dewhurst said locals in Tayside and Fife are "not going to escape fully", adding: "People will be waking up for work or school and it is going to be a cloudy, wet start to the morning".
There is also a warning for rain in place for Cumbria from 12am to 23.59pm on Saturday (October 13).
In wet weather drivers are urged to slow down if the rain and spray from vehicles is making it hard to see and be seen and remember that stopping distances will be at least double in wet weather, keep well back from the vehicle in front, and ease off the accelerator and slow down gradually if the steering becomes unresponsive. Indeed in one or two locations winds may reach as high as 140km/h along the far west and southwest coasts. The main concern we are anxious about for the area is the amount of rainfall throughout Saturday itself. Fallen leaves will lead to blocked drains and flooding issues. "Highest temperatures of 14 to 16 degrees".