Safari 11 contains sophisticated settings to handle your privacy and uses internal SQL databases to store data, so protecting your privacy by removing files with TinkerTool System no longer makes sense.
Apple may change the privacy features of Safari any time without further notice. We can only give a short overview here. Please see Apple’s official documentation on Safari for reference information.
Depending on what you actually intend by deleting web browser data, you can use different features to achieve your goal:
If you like to ensure that Spotlight doesn’t refer to websites you visited: Remove the check mark at System Preferences > Spotlight > Search Results > Bookmarks & History.
If you like to control what specific features selected websites can use on your computer: Change the settings at Safari > Preferences > Websites accordingly.
If you like to avoid that advertisers track you when visiting multiple websites, and you also like to have cookies automatically removed when you no longer interact with a website for some time although these cookies have not expired yet: In Safari, set a check mark at Preferences > Privacy > Prevent cross-site tracking.
If you like to prevent that websites and advertisers track you when visiting web pages: Open Preferences > Privacy in Safari, set a check mark at Ask websites not to track me, and choose a mode of Cookies and website data that you like to use.
If you like to remove cookies, caches, and HTML5 databases for a website you have visited: Open Preferences > Privacy in Safari and press the button Manage Website Data…. Select the affected web sites in the table and press the Remove button.
If you like to remove traces related to all web sites you have visited recently: Select the menu item Safari > Clear History…, choose a time frame in the panel, and press the button Clear history.
If you like to remove nearly all traces about your use of Safari: Select the menu item Safari > Clear History…, choose Clear all history, and press the button Clear history.
Related information: The Pane Privacy.