Disposophobia
Disposophobia – fear of getting rid of or losing things – sometimes wrongly defined as compulsive hoarding
Compulsive hoarding (or pathological collecting, or, informally, packratting) is a pattern of behavior that is characterized by the excessive acquisition of and inability or unwillingness to discard large quantities of objects that cover the living areas of the home and cause significant distress or impairment. Compulsive hoarding behavior has been associated with health risks, impaired functioning, economic burden, and adverse effects on friends and family members. When clinically significant enough to impair functioning, hoarding can prevent typical uses of space so as to limit activities such as cooking, cleaning, moving through the house, and sleeping. It can also be dangerous if it puts the individual or others at risk from fire, falling, poor sanitation, and other health concerns. Source (may contain potentially upsetting images)