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.
There has been talk about removing Microsoft Office completely, since OpenOffice and Google has free "equivalent" products. My school district has already removed Microsoft Office from classroom student computers. Only teacher computers and computer lab computers have Microsoft installed. The future of Microsoft Office looks bleak! Their motto must be, "One step forward, two steps back!"
This pretty seriously ticks me off. Why in the world would a company delete something that far ranging without at least sending an email to the customer or broadcasting it on every platform possible? I used clip art on a regular basis....making cards, mailing labels, chore charts, papers for my homeschool, etc. It would have been nice to be able to save off all those clip art graphics to my own drive before MS Office did one of their lovely updates and removed everything. Personally, I detest Bing and I'm not even remotely interested in getting involved with anything involving copyright law. Maybe it's time to make the journey to Open Office at last. Buh bye Microsoft!