Some browsers (at least Chrome and Firefox) supports a header called Clear-Site-Data [0]. When sent, this header tells to the browser to delete information like caches, cookies, local storage...
This is interesting for at least two reasons:
 * it makes sure that everything that could possibly be done to preserve user's privacy is done
 * it can helps mitigate security issues where malicious users has successfully injected code by making it harder to persist the attack
[0] 
https://w3c.github.io/webappsec-clear-site-data/