I think that cutaneous squamous cell carcinoma (SCC) includes manysubtypes with widely varying clinical behaviors, ranging from indolentto aggressive tumors with significant metastatic potential.
I suggest you to see "Cutaneous squamous cell carcinoma: a comprehensive clinicopathologic classification" Part one. J Cutan Pathol. 2006;33:191–206
This is a difficult question to answer. For a concrete answer you need to have an appreciable number of SCC that you diagnose and do not manage but you follow up them for a particular period of time to assess their rate of growth. This neither acceptable nor ethical and such studies do not exist and can not be published. The fundamental role in any malignancy is to proceed with the management once the diagnosis is settled AND without delay. Time counts. Accordingly, most of the available information is based on retrospective studies. The rate of growth is variable depending on several factors, such as location (low growth rate on the back and rapid growth rate on mucous membranes), state of differentiation of malignant cells, immunosuppression, SCC on a previous scar, recurrent tumors, etc. It is anticipated that the growth rate may not affect the management but perhaps the disease free survival and overall survival.
"The importance of actual tumor growth rate on disease free survival and overall survival in laryngeal squamous cell carcinoma. van Bockel LW et al. Radiother Oncol. (2014)"
As Dr Abdel-Nasser has suggested, it is unlikely that we could get definitive data on this topic, but here's a hypothesis: with increasing frequencies of mutations within the neoplasm, the mitotic rate should successfully "escape" control and so the tumour growth rate should increase. But with further mutations, cell metabolism and the biochemisrty of mitosis will become less efficient, so, after a period, the growth rate should decrease. So my suggested answer to your question, Dr Wollina, would be: "yes", there should be a time-dependent change in growth rates for SCCs.
I have got the rule that any SCC time duplication is 90 days (mucous or skin). I ask me what size or depth of Skin SCC is necessary to get metastasis? Best regards.