While Virginia is a part of the Driver's License Compact (DLC) that requires member states to exchange information regarding traffic violations, Tennessee dropped out of the Compact in 1997. Even without being part of the DLC any longer, the TN Department of Safety has decided to report tickets back to your home state if you are cited for a traffic violation in TN with an out of state license.
Once the Virginia Department of Vehicles is notified of the TN speeding ticket, the offense as well as demerit points may be assigned to your driving record. The VA DMV notes that this is done for traffic convictions even if they occur out of state.
If this Tennessee ticket or other items on your driving record cause your insurance rates to rise, you can start shopping around for new affordable Virginia car insurance here.