Navigate to the Bing homepage. Click on the four horizontal lines in the top right-hand corner. Click 'search history' once in the drop-down menu. On the next page, click 'clear search history' on the right-hand side. Your browsing history should now be deleted and your cache clear!

If what you want to do is clear your entire search history, you can just click the “Clear Activity” link at the top right of your search list. You’ll be asked confirm your action. If you want to delete your entire search history, go ahead and click the “Clear” button.