Happy Birthday to your DD!
: )

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one concern about acceleration that I've seen is that others will be able to drive while the accelerated child can't. Has anyone encountered this sort of challenge?
Depending upon your locality, and regional norms, many kiddos do not get a driver's license as soon as they would be legally able. Among those who may have a driver's license, kiddos may often carpool or share a ride... not all kiddos would be driving to each event. While some students may be utilizing a state driver's license as photo ID for cashing checks, etc, some accelerated students (and also homeschooled students who do not have school ID cards) may obtain state-issued photo ID cards which are not a driver's license.

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Because she is working so far ahead, I don't see any way she can return to regular school after 8th grade, when the charter school stops (she will either have to be homeschooled or go to college early). She realizes that regular high school may not be an option and seems not to mind (I've told her she can go for social reasons if she wishes, but she seems uninterested so far).
You may wish to start looking at high schools now, to see what is available in your area including dual enrollment, early college, etc. Establishing those contacts and receiving information about secondary school options may help ease concerns/uncertainties about growing up.

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The basic problem is that there is no place where they TRULY belong full time.
Agreed. There is an art to finding the positive in each situation (there are positives and negatives in everything).