In Adipocyte types of connective tissues in animals does fat get stored. Adipocyte is a loose connective tissue that fills up space between organs and tissues and provides structural and metabolic support. It is part of the nutrient glue that holds us all together. Adipocyte tissue is often referred to as fat. Adipose tissue is found directly beneath the skin, between muscles, around the kidneys and heart, behind the eyeballs, and abdominal membranes. It serves as a layer of protection, absorbing shock potentially sustained by the tissue