Hello, JonasGrumby.
Thank you for visiting Apple Support Communities.
This sounds like you may have Private Browsing enabled. The article below will show you how to disable this feature.
Safari is not asking to save account names and passwords, even though iCloud Keychain is turned on.
Devices using iOS 7.0.3 or later:
- Go to Settings > Safari > Passwords & AutoFill, then turn on Names and Passwords.
- Return to your Home screen and open Safari. If Safari is black or dark instead of white or gray, Private Browsing is turned on. Safari doesn't save account names and passwords when Private Browsing is turned on. To turn off Private Browsing:
- On iPad, tap the the plus + symbol in the upper-right corner of the Safari page, then tap Private in the lower-left corner.
- On iPhone and iPod touch, tap in the lower-right corner of the Safari page, then tap Private in the lower-left corner.
Macs using OS X Mavericks v10.9 or later:
- Choose Safari > Preferences, then click AutoFill.
- Select the “User names and passwords” checkbox.
- Open the Safari menu and make sure there's not a checkmark next to Private Browsing. Safari doesn't save account names and passwords when Private Browsing is turned on.
Safari isn't automatically filling in account names and passwords on some web sites.Devices using iOS 7.0.3 or later:
- Go to Settings> Safari > Passwords & AutoFill and make sure that these two settings are turned on:
- Names and Passwords
- Always Allow
- Return to your Home screen and open Safari. If Safari is black or dark instead of white or gray, Private Browsing is turned on. Safari doesn't save account names and passwords when Private Browsing is turned on. To turn off Private Browsing:
- On iPad, tap the the plus + symbol in the upper-right corner of the Safari page, then tap Private in the lower-left corner.
- On iPhone and iPod touch, tap in the lower-right corner of the Safari page, then tap Private in the lower-left corner.
Macs using OS X Mavericks v10.9 or later:
- Choose to Safari > Preferences, then click Passwords.
- Make sure that that these two checkboxes are selected:
- AutoFill user names and passwords.
- Allow AutoFill even for websites that request passwords not be saved
- Open the Safari menu and make sure there's not a checkmark next to Private Browsing. Safari doesn't save account names and passwords when Private Browsing is turned on.
Get help using iCloud Keychain
http://support.apple.com/kb/TS4644
Cheers,
Jason H.