We had a cat once - we named him Chewy after the character in Star Wars but it turned out to be prophetic. H loved Mr. Mercat’s socks, the black synthetic kind you wear with dress shoes. He had to have one in his food bowl to chew on before he would eat. I figured it was a thing he had with being weaned too early. We fought him and kept taking the sock and then he would get another one. It took us way too long to figure out that we should just give him a sock to chew on and replace it when it got too holy and funky. Otherwise there were little chewy holes in all his socks. He never ate the whole sock however.
The cat we had before the current one was about 9 months old according to the shelter, when I first got him. For some reason, he would get my husband’s dirty white socks from the laundry room and carry them around for a while.
He did not bite the sock, and I never saw him do anything with the sock except walk, holding it by the toe as the rest of the sock dragged on the floor beneath him. This went on for about 2 months after I first brought him home.
My daughter has a couple of Standard poodles that eat socks. Luckily she has been able to make them throw up and disgorge the socks, so far.