I just tried to save the life of a very weak young chick by tucking it into my cleavage whilst I napped, so it could be kept warm and rest where its brooder mates wouldn't stomp all over it. Sadly, it didn't make it. It was okay the day before, but during the night it did a stupid chick thing and got itself trapped in a small opening, one wing and its head, all night long. By the time I discovered it, it was too weak (even with sugar water for energy).
And I didn't feel at all odd about keeping a chick there. If it pooped, well, I am perfectly capable of cleaning myself.