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!
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.
My school district doesn't allow students to access anything except Google; therefore, clipart is useless. More and more school districts and companies are blocking applications and websites to prevent access to inappropriate images and content. My first and second graders have always loved doing PowerPoints; however, with clipart no longer working, they cannot do these projects any longer. Older students access Google images to get graphics for their projects.