Annoyingly, this program isn't available on the BBC's Listen Again.
Here are a few related links though, which I dug up while listening:
We have been here before - Doggerland and the impact of climate change (PDF)
Map of Doggerland
I was particularly interested to hear that the Howick roundhouse is situated on the first available high ground west of Doggerland. Whatever the size of the tsunami that resulted from the collapse of the Baltic ice dams, it would have been dwarfed by the one from Lake Agassiz's outpouring into the Atlantic - which I think drove people from the inundated lands on the eastern side of the Atlantic up into the high ground areas on the west side of Britain and Europe.