After a couple hours at Lyme Regis we decided to escape the sun and drive a little further along the coast. We stopped at West Bay, of Broadchurch fame.
Then we drove a little more to a beach with a National Trust car park (we were struggling a little as we had the van and a car).
We were rather hoping to find a fossil, but the cliffs were crumbly so we couldn't get close to them. It was a great beach though.