Final answer:
The vesicular movement of waste out of the cell as described is an example of exocytosis, a vital cellular process used to expel material and maintain cellular balance.
Step-by-step explanation:
The process described, where a vesicle moves a waste molecule from a lysosome, through the cytoplasm, and to the cell membrane to exit the cell, is known as exocytosis. Exocytosis is a form of active transport essential for various cellular processes, including removing waste materials and cellular debris, releasing chemical signals, and secreting substances like neurotransmitters and proteins. It is a critical mechanism for maintaining cellular homeostasis and communication.