Welcome to the forum. I'm in York County so I can' t answer for Hampton but it took me about 2-3 weeks after submitting the form and getting fingerprinted. I found out after that not all counties/cities fingerprint so Hampton may or may not require that.
I believe that in VA if you don't receive the CHP within something like 45 days you can use the copy of the application as the CHP. Most localities get you the CHP within that time and if they don't a request to VCDL usually investigates why they are slow and gets them back on track.
Come on out to one of the local dinners to meet other OC-ers. It is a great way to get lots of questions answered in a short time. :-)
The court shall issue the permit within 45 days of receipt of the completed application unless it appears that the applicant is disqualified. The copy of a concealed handgun permit application becomes a de facto permit if the court does not grant or deny the permit within a 45 day period of the receipt of the application.