Final answer:
Gregor Samsa from novella 'The Metamorphosis' attempts to keep a picture of a woman clad in fur when his family is clearing out his room.
Step-by-step explanation:
The object that Gregor attempts to keep in his room when his family is clearing it out is not explicitly mentioned in any of the provided texts. However, if we refer to novella ‘The Metamorphosis’, which the question seems to be about, the object Gregor Samsa tries to save is a picture on the wall of a woman clad in fur. When his family removes the furniture to give him more crawling space, he clings to this picture as a remnant of his human life and memories.