i just ran the dungeon to see if i had a problem with it as well. i was able to complete it just fine.
after beat all the monsters in the first gear room and poisons husband shows up, the four switches in the first room will become selectable. when you pick one you have to go find the switch that shows a different time in the halls.
after that you should be able to click the switch in the main room
not sure if this is just a problem with your client or youre just doing something wrong though :x you can try asking on the official RH forum though, youll prolly get more responses