Every tissue of our human body consists on cells and cells are not like static "LEGO bricks". They are highly dynamic and can actively move around, due to myosin-actin networks inside the cell that are fueled by the hydrolyzation of ATP. However, most of the tissue is attached tightly in place. Clearly there is cell migration e.g. in case of wound healing.
But is it possible that tissue flows apart from the body due to the active nature of cells? Under which circumstances this can happen?