We've had our own 'Dawlish' near Stonegate on the Hastings-Charing Cross line:
http://www.networkrail.co.uk/timetab.../storm-damage/
Not by waves, but continual rain washing away the embankment. There was already disruption due to a lanslip at Wadhurst around Christmas, where the cutting side had collasped and blocked the line. The blockage has been cleared, but Network Rail unable to fully secure the bank to prevent further slippage until the weather improves.
There's also been problems along the 'coastway' route between Hastings & Eastbourne, with shingle blown off the beach over the tracks in places plus there was a collapsed drain under the line recently between St Leonards & Bexhill.
Tony