And the winner is . . .

Nobody. Only two guessers and neither one hit the mark, although the comment about walrus tusks was the closest miss. Several years ago I bought Cat a big elephant for Christmas. Since she has been collecting elephants for quite some time, it seemed appropriate. She was less than thrilled. So the nearly three-foot-tall, leather-covered pachiderm stands in my study.
Sometimes I place my eyeglasses on his tusks. Often I put my little black pillow on his back. That's the pillow I put under my chin to keep my jaw from dropping open while I doze in my recliner. (If I open my mouth while sleeping, I snore.) He is both a decorative and useful beast of burden.