I would recommend that you use the password saving option of your browser if you:
- are careful of websites where you go to
- are careful of software that you download or install
- are the only one using your laptop or you are mindful of people who use your laptop
- clear your browsing history appropriately.
- are not careful of websites where you go to (i.e., you go to websites which are prone to malicious software, such as porn sites)
- are not careful of software that you download and install (you might actually be downloading a virus, a Trojan, or a worm).
- too many people use your laptop and you do not consider how they use your laptop (security-wise)
- do not clear your browsing history at all.