Is there a meaning of the word "save" that is a synonym for to "write" or "draw"?

I'm very confused by the third point about saved flipchart cards. I'm not native and I'm very curious whether it's correct or not.

"Save" doesn't mean "write" or "draw", no.

The wording of the point you asked about is clumsy, but what is meant is that users of the room must take any used flipchart pages and other notes with them if they want to save them from being thrown away after they leave.

Signs of that nature are common in training or conference rooms that may be used by many different groups. Such facilities may provide users with basic stationery items such as pens, notebooks, and (blank) flipcharts. The third point under the "Remember" heading talks about provision of such items. Users are supposed to leave the room tidy, but if they do leave material behind facility staff will throw it away when preparing the room for the next group.