The game was saving fine after I installed it. Next day it loaded correctly, but progress was never saved (day 14). I restarted a new game (after I backed up the saved game files), left right away and looked for any changed files on my PC - nothing. When I tried to "Continue" it actually reloaded my day 14 save instead of the new one.
Also Steam is definitely incorrectly showing played time, not sure how it is for the rest of you. Furthermore played time seems to have changed after I restarted the game (went from 72 hours to 17 hours)