hmm thats not good, I hope its not something to do with file access permissions. Does the run save / are you able to load that?
Uhm... I made some experimenting. It saves the run until I quit safari (or maybe even just the page). When I reopen it, the save is gone. Also, the save itself is a little weird. I saved on the third tile and it got me back on the first. The map was identical, but the encounters and events were different.