Yes, they do happen, particularly after a wet season. The last major slide was in winter 2007 (yep!) when a whole chunk of cliff, trees and all, fell down on the beach and into the water - so far out that a whole new little peninsula was created here at Store Taler.
ALWAYS KEEP IN MIND:
WALKING IN THE CLIFF AREA IS AT YOU OWN RISK!!!!
Møns Klint is a piece of living nature. Landslides and rock falls may occur all over the cliff- all yaer round, but especially in periods of sudden thaw, during major precipitation and following long spells of drought. Accordingly it can be extremely dangerou to walk on top of the cliff near the edge of the cliff, and on the beach underneath the cliff.
ALWAYS RESPECT THE CORDONED OFF AREAS!!
A few people have been killed by landslides at Møns Klint. Some have been killed under the cliff, and some have been killed, walking to close to the fragile edge of the cliff. Read the warning signs and take them seriously.
Notice that landslides most occur at spring or autumn when it rains most.