I don't believe I ever shopped this store, but I think it was on Rosewood for most of my life. The building is one of the older style Pigs, much like that of the Covenant Road Pig and the Marshall Street Pig, though in this case the follow-on store has not retained the Pig's marquee letters the way Kimbrell's has.
The current tenant is Dollar Tree an "everything for a dollar store. It appears from this real estate listing that the building itself is again for sale, though Dollar Tree has a six-year lease. I notice that they are building a lot of residences on the other side of Rosewood (and a bit down the hill) -- too bad the PIg didn't hold out another few years, as that would be a new customer base (though the store is small for the current Piggly WIggly concept).
UPDATE 27 April 2009: I have updated the closing date in the post title from "2000s" to the "July 2002" date supplied by Dave in the comments.