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.
Why is it that every time Microsoft make another edition of their software it makes it harder and harder to use. Seriously frustrated. Clipart was so darn useful. I was always ungrouping it to pull apart and use just some little images or to recolour to match my document / presentation. now I have to go and try and completely redraw things. This is a complete waste of time. Microsoft, you continue to be morons. Just once, I'd like to see an upgrade that actually added value and didn't make it harder for people to use. User UNfriendly. Seriously considering heading back to an earlier version of PowerPoint just so I can get that feature back.
To download the clip art and animated GIFs on this site, just move your mouse over an image or animation and right-click. Then select "Save Picture As..." (or "Save Image As" if you're using a Mac). Feel free to open the pictures in your favorite graphics software, such as Photoshop, Fireworks, Gimp, etc... and edit if you wish. Keep in mind that linking to these images is not permitted.
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.