During Cromwell's campaigns in Ireland one of his generals said of the Burren "There isn't tree to hang a man, water to drown a man nor soil to bury a man". And so the residents were spared the from Cromwell's protestant crusade. It's a very apt description. Nothing of any size can grow in the limestone sheet the forms the surface of this entire area, on short grasses and wildflowers. Even so, some of the oldest historical monuments in Ireland can be found in this area, dating back an incomprehensible 5 millenia, to when the Great Pyramids were still under constructions.
You can get a detailled insight in Geology, Archaeology and Botany of the Burren at the Burren Display Cenre in Kilfenora.
In modern times, few people live in the Burren. Those that do are mostly Irish speakers.
Near the Cliffs of Moher, there are many signs warning visitors to stay back from the edge. While many people choose to ignore this wise advice, beware that the signs are there for a reason, as people have fallen off. The death toll is rumoured to currently be around a dozen.