I use clipart often and transport it into other programs such as Print Master to make cards. It was easy to make a few small changes in it and use what you redesigned. I hope you'll reconsider it's removal and put it back. Personally, I don't care for Bing's images. And I don't want to go out on the net to find other clipart when I'm in the process of getting a manuscript together. It's a waste of time.
If you mean your own artwork, then you'd take a picture of it, upload it to your computer (make sure you know where you're saving it), then select Insert > Picture in Word, browse in the location where you saved the photo, click the picture, and insert. If you mean an image from the internet or something, you can just save it to your computer and basically follow the rest of the steps above.
This is TERRIBLE! Besides being able to edit vector images like Will mentioned (which is important for those of us who don't have graphic artists available to create custom images or the budget or time to buy that service ad hoc), you could also search for style "families" (different graphics that were all in the same style). There was a huge range of files and styles in the collection and it was much faster to find what you need than to do a Bing search. Plus, you knew that everything there was free and free to use, without having to worry about CC license issues.
Back in the ‘90s, Clip Art took over Word and PowerPoint files thanks to the thousands of office workers and students who used the images as a way to “improve” their documents. These days there are a large number of free images available on the web, and Microsoft is recognizing this by killing off its Clip Art portal in recent versions Word, PowerPoint, and Outlook. “The Office.com Clip Art and image library has closed shop,” explains Microsoft’s Doug Thomas. “Usage of Office’s image library has been declining year-to-year as customers rely more on search engines.”
The download marketplace offers a variety of products and resources that you can download to create better documents and presentations. This download section contains add-ons for Microsoft Office like this Attachmetric that helps to tracks who has opened your emails and attachments or ClearContext Professional to prioritize, organize, color-code, manage Outlook in a better way.