The last eruption on the Reykjanes peninsula ended in the middle of the Sturlung Age, in 1240. There had been eruptions in the Reykjanes system since 1210, with several years of breaks. Among them was an eruption that began in 1226, six years after Snorri Sturluson returned from Norway, and was probably the largest eruption in the cluster. The Oddaverjaannál mentions this eruption and talks about “sandfall winter in Iceland.” The website eldgos.is says that the eruption in the cluster from 1210 – 1240 have the name of Reykjaneseldar.
The last eruption on the Reykjanes peninsula lasted for 30 years. It was also the final phase of an even longer volcanic eruption period on the Reykjanes peninsula, which lasted for 290 years. The last eruption in Fagradalsfjall was more than 6,000 years ago. Then the Beinavörðuhraun flowed. (Bone Guard lava.)
Now this eruption does not affect any buildings or internal infrastructure, there is a risk of gas formation from the eruption but mostly next the eruption, Air traffic runs normally and there is no ash coming from the volcano since it is a small eruption.
You can see in live webcam from the eruption here