Does TabLinker auto-save sessions?

Yes, on Mac. Turn on Auto-Backup in Settings and TabLinker quietly backs up the windows open in your browsers every 15, 30, or 60 minutes, when you switch away from your browser, and before your Mac sleeps.

If you close a window by mistake, open Backups in the sidebar to restore it in the browser it came from, save it as a folder, or copy its links, even the next day. Private windows are skipped, and backups stay on your Mac instead of syncing over iCloud. The free version keeps your latest backup; Pro keeps a week of history.

You can still save sessions yourself: capture every open tab in one click, grab the current tab with ⌃⌥⌘T, or back up every window right away with ⌃⌥⌘B. Anything you save is written to your library immediately and synced to your other devices over iCloud.