: Teeth cancer in Humans https://en.wikipedia.org/wiki/Cancer https://en.wikipedia.org/wiki/Human_tooth https://www.google.com/search?q=teeth&oq=teeth&aqs=chrome..69i57j0l3j69i60.10521j0j7&client=ms-android-lava&sourceid=chrome-mobile&ie=

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The basic structure of tooth consists of

Outermost layer, enamel
Next layer, dentin
Innermost vital, vascularised tissue, pulp
Hard tissue layer covering the root ( root doesn't have enamel), i. e. Cementum

Reference
Now enamel is a non vital tissue, having no cells, and vasculature. Reference
Similarly dentin too doesn't have any cells, but has processes of cells in pulp(odontoblasts) , known as dentinal tubules.
Hence even if tooth cancer is to happen, it will affect the pulpal cells, including the odontoblasts and their processes in dentin.
Now talking about the odontoblasts,
There is an interesting article
It says that-

The combination of cell contact and mechanical
stressing can be related to models describing the significance of inter-cellular mechanical interactions in contact inhibition of proliferation (CIP).

The model also could theoretically account for potential neoplastic behavior of odontoblasts if there was an initial disruption of tooth morphogenesis. Possibly, in those rare cases, in which an expansile odontogenic tumor contains dentin-producing odontoblasts, the cells are more than passive participants responding to inductive signals from neoplastic epithelial cells.

Further for other cells of pulp, which include fibroblasts, defence cells, eg histiocytes,
Again quoting an interesting article

Malignant tumours affecting the dental pulp are
predominantly found in fully emerged teeth of mature patients (in their fifth to sixth decade of life)

According to this article

Dental pulp neoplasms (DPNs) rare tumors of the dental pulp tissue which is not exposed to the oral cavity. Two types of DPNs can be distinguished: Type 1 originates from the dental pulp itself (primary DPN) and type 2 originates from tissue outside of the tooth (secondary DPN).

Further the previous article says,

There is no reason why cells of the dental pulp, such as fibroblasts, pericytes, stem cells and epithelial cell rests of Malassez, should not act in the same way, as all these cells have mitotic competence, which can be shown by the disease pattern of pulp polyps.
Because of the anatomically restricted space of the dental pulp, any clonal growth of the tumour would be limited and further associated with necrosis. And tumour expansion would increase the intrapulpal pressure, as would the resulting formation of hard tissue, which can even result in the strangulation of pulpal tissue.

Additionally, the more apical the tumour growth, the higher the risk of a haemorrhagic infarct of the pulp, thus limiting its growth by itself. Because sarcoma has the capacity to exist in the dental pulp, predictions can be made about the tumours potential to metastasize. Chandler and colleagues’ states that the necessary cell mass for haematogenic metastasis of individual clonal cells is 106 cells, which equates to a spatial volume of about 1 cm3. Such a volume is not usually provided by the endodontic macroenvironment.

However all these were for fully mature erupted teeth.
There is a class of tumors known as odontogentic tumors and these are common. Eg. Ameloblastoma

odontogenic tumors arise from the tissues which make our teeth, they are unique to the jaws, and by extension almost unique to dentistry.
These develop from the epithelium and/or Ectomesenchyme tissue while the tooth is developing.
Reference

Hence 'cancer of tooth' the topic itself comprises of vast number of possibilities (thereby making this answer too long!!)
Hope I have satisfactorily answered your question :)