Barbara --
It should mean that he's exempt from Confederate military service. Anyone on this register is presumed to have been eligible under Georgia militia laws then in effect.
"Served" is probably the wrong word, because it gives the impression that a man left home and went into camp somewhere. This register served the purpose of a jury pool -- it simply lists men eligible for militia duty if the governor decided to call for militia in a certain district.
My ancestor appears on this roll as a 32-year old overseer, presumably exempt from Confederate service. In September of 1864 he enrolled in Milledge's Georgia Battery at West Point GA, but I don't have any evidence that he ever "served" in the state militia.