Though, incognito mode or private browsing let you allow to browse privately and securely. So, when you browse from any computer, the delete browsing history automatically feature cleans all the data, and thus you can maintain your privacy. But auto cleaning of entire browsing history yet to be included in Chrome browser. Recently, Google Chrome, in its latest version has integrated the feature of clearing cookies. Firefox and Internet Explorer have the automatic delete browsing history feature from the very beginning. So, an automated method makes the work easier to you. Practically, it is not always possible to delete browsing data manually each time you left the browser. So, it is a best practice to clear all the browsing history along with cached data and cookies as soon as you close the browser. If you browse from a public network then, your privacy may be lost. All the traces of your internet browsing is stored as browsing history, cookies and cache data.
When you browse the web using any modern web browser, you left all the trace of your internet browsing habits to the PC.
Automatically deleting browsing history is a very good practice.