Lots of nice beaches/coves and bays, best not having a bike, from Lyme, the only way is UP, then down, then UP some more then....
Charmouth beach is just around the corner, scrabble around in the Blue Lius Clay and Bellonites and Ammonites are rfeadily found, particularly near a fresh rock-fall. careful not to get stuck in the clay.
As stated, it's pretty rural My family hail from Axminster, my Dad went to Lyme school (well, when he wasn't bunking-off sailing). Nothing much to do apart from watery things and exploring the fairly unique grandness of the rolling hills of East Devon.