Jen, my little man likes to hold a cloth nappy (the flat ones). When I put him down I lay it across his arm and he grabs it and sometimes sucks it a little but normally just holds it. It's cotton and he can breath through it if he puts it over his face which sometimes he does. It's also good if it's a little chilly cos I can place it over his legs...lol. The good thing about the nappy too is I can just keep changing them and washing them. He NEVER has the same one for a whole day really as I use them to wipe his face etc during feeding times. So he's not getting attached to one item