Actually it does not. ATC does not have the authority nor the resources to control you in class G, and they should terminate such control prior to your entering class G. It really is "Uncontrolled Airspace"

if you start IFR in class G with the intent of entering controlled airspace, you should file a flight plan so ATC knows when and where to expect you. Contact them before entering controlled airspace under IFR.

You can fly under IFR in class G, obeying all the usual rules (terrain clearance, route, equipment, currency, etc). Traffic separation is do-it-yourself..."Big-Sky, Little-Airplane" theory. In places where there is a lot of class G IFR (Alaska) the locals use air-to-air advisory freqs and report their positions frequently to avoid midairs.