Points of interest (museums, theaters, concert halls, tourist info, transports, events, and more): Montreux-Villeneuve - Vevey-La Tour
Glion
How to go to Glion:
take the cogwheel train from Montreux (MOB Station)
take the cogweel shuttle from Territet (very impressive!)
Things to do in Glion:
enjoy the panoramic view
walk back to Montreux along the Gorges du Chauderon (from Glion, take the road to Les Avants and watch out for a pedestrian trail on the left, across the cemetary)