Three day climate change.

I reckon it would get pretty cold and there would be a chance of storms developing

It depends on how close you are to the sea and how much cloud cover there is.

Inland and clear sky could make it bitterly cold.

Also remember that areas above the Arctic circle every year has periods of "total darkness", meaning the sun is under the horizon for periods that spans from a couple days to months depending on how far north you go (same on the southern hemisphere.)

In such areas as the Finnmark plain where native people live temperatures can drop to minus 55 deg C on clear nights in the middle of the winter, but typically the sun would have been below the horizon for weeks for this to develop. You'd see similar conditions in Siberia and Alaska.

Without the sun everything will freeze fast. Just look how cold it is in the morning when sun gets up and that was just 12 hours without sun on half side.