This kind of tumor spread is called contiguous or direct spread and differs from metastatic spread by invading only local tissues and not distant sites such as lungs and liver.
Contiguous spread pushes normal tissue out of the way or simply destroys it.
Tumors that spread this way include basal cell and squamous cell carcinoma. There are also a large variety of related skin tumors called appendageal tumors which can spread contiguously. Mohs surgery is named for Frederick Mohs, the physician who developed the technique. These chemicals were painful and needed to be affixed for about half a day. The advantage was that the surgery could take place without anesthesia and with no bleeding.