Presumably the parent meant a stock whose share price tracks inflation in spite of its dividend. So if you reinvest the dividend, you beat inflation and potentially beat the market, depending on the dividend yield.
At that point wouldn't bonds make more sense? Seems like the risk vs. reward balance is skewed the wrong way if you own a piece of stock that stays flat.
Given that I generally hold for income rather than value, that's precisely what I look for. The last thing I want is a security that goes up in (real) value since that means they're not paying me the dividends they could.
(let's not forget that, thanks to inflation, 'flat' is actually losing money over time.)