This is about the use of anesthetics both for dental work and particularly for surgery on the fingers or toes including the partial removal of toenails due to infections.

What are the important things to know about the use of local anesthetics which could affect people with CMT?

The discussions reminded me of a lecture/seminar in my graduate pharmacology course. We were on the topic of local anesthetics and the PhD pharmacologist was talking/going on about the virtues of adding adrenaline to a local anesthetic to reduce bleeding, and he said this would work well on a finger. I interrupted him with, "Oh NO you don't, the finger might fall off with gangrene." I told him and the class how, as student nurses, we were warned to never let the doctor use a combined local anesthetic with adrenaline in it when working on a toe or a finger requiring local anesthetic, i.e. suturing or removing things like nails, for just the above reasons.
On checking in my pharmacology book (Goodman and Gillman's The Pharmacological Basis of Therapeutics 7th edition pg. 306) I find the following: ["...this (referring to the combination) is particularly serious when used in surgery on the digits on hands or feet. Prolonged constriction of major arteries in the presence of limited collateral circulation can produce irreversible hypoxic damage and gangrene." It adds, "In addition, the local anesthetics may interfere with the reparative processes of wound healing."]

If anyone is interested, many of the side effects people have been describing, such as heart palpitations, feeling faint, sweating, being cold, etc., are also described in this text.