I think it's a reference to hand-held pets—birds and such that will ride atop your hand. They're referred to in Japanese by the phrase "te-nori" (手乗り).
I think?This kind of animal?What is she, then?W-well, she's...Whaaaaaat?So she wasn't Satori-sama that turned tiny, huh?She's what?Who Is She, Really...?