Assigning pointers of different object types to each other is allowed as long as no alignment requirements are violated: The assignment will involve an (implicit) type conversion, so it is as (un)problematic as assigning a float to an int - it works in most cases but is allowed to blow up when a meaningful conversion is impossible.
char * and void * have compatible alignment requirements per spec, so assigning a char ** to a void ** variable (and vice versa) is never problematic. They even have compatible representation, which means in principle, accessing a char * through an expression of type void * - eg by dereferening a void ** which actually points to a char * - will work as expected in most cases. Of course, the converse (accessing a void * by dereferencing a char **) holds true as well.
For example, the p conversion specifier for printf() expects a void * and passing in an arbitrary pointer type is undefined behaviour. However, in case of char *, it should work even on exotic architectures (eg with different pointer representations) as long as the implementation conforms to the C standard.
Where problems may arise is aliasing analysis: Due to the effective typing rules, a void ** and a char ** can't alias, and if the programmer breaks that promise, strange things may happen. One should realize that because of effective typing (aka strict aliasing), C is actually strongly typed - the type system is just very unsound (ie doesn't protect you from violating its invariants)...