There are a couple reasons I disagree with this.
Starting to save early means getting in the habit of saving. People who never get into the habit of saving often grow their lifestyle to fit income increases.
Saving up an emergency fund is a necessary hedge against job loss, unanticipated home repairs, and other oddball financial events.
If one earns little money and is paying low taxes, putting money into a Roth IRA makes sense. Putting low-taxed income into an investment vehicle that is tax-free upon cash out is a potential gold mine.
I'm not advocating living like a monk and saving every penny. When I was in my 20's I did my share of partying, but I always put some money in savings and retirement accounts before getting around to buying nice stuff. With things as uncertain as they are today, I'm glad I have that extra cushion.