In our product by default the user is remembered until the auth0 cookie is expired. This cookie is always set. The customer needs a v2/logout call if they really make sure that the user isn’t remembered next time.
With Lock it isn’t possible to implement remember me button. With a custom login widget perhaps a workaround can be possible.
E.g. You can add a remember me option checkbox. Once it is unset, you store a cookie on the browser. After the user is authenticated and redirected to their app, you can check the cookie state and perform an Auth0 logout sequence. This can log the user out with Auth0, so the next time you redirect the user to the login page, the user has to enter the credentials again.