Publix is convenient if you live in Indian Land, and that's about where my recommendation ends. Also, the cookie club for kids is nice.
The produce is a joke, especially the organics. They refrigerate a lot of the organic stuff at what I assume is an attempt to make it last longer. Who wants already refrigerated apples or nectarines? Not me. Want already moldy strawberries at a premium price? Head to Publix! The organic clam shells of greens like spinach are always so close to expiring that I can't buy them and use them before they go bad. Same with yogurt, it's often either already expired or about to. The Greenwise organic whole milk is a good price and I'd like to buy more of it, but so often they only have 1 or 2 gallons stocked. I won't stop gping here because it is so easy to run to versus fighting traffic up Johnston especially at peak times. But I avoid buying produce and meat here unless absolutely necessary and only come here for supplemental shopping trips or small purchases when convenient.