Transferring Save Data
You should be able to follow these directions to import your save file:
Importing save files - Don't Starve Forum
Copy this URL and put it into chrome(Without quotes):
"filesystem:http://dontstarve-release.appspot.com/persistent/"
Right click on each file and save them into a folder somewhere (And remember where it is)
Open Don't Starve and choose import, Select that folder and import your save!