Saving money today in a standard savings account does not pay much interest - some as low a 1/4 percent. But conversely investing your money is very risky today. Many reliable mutual funds used to be steadfast at 6 to 8% but the market has become so volatile, it is so risky to put your money in that sector.
It depends on how you feel about an economic collapse. Are you worried about banks and other investment venues? It is hard to say.
If I were you, I would save cash first. Set a goal - say $1000. Once you reach that goal, take half and find a sound investment. You can study funds online and see their performance. Also Savings Bonds, while low in interest are a good place to start saving.
Saving is very important even if the return is almost nil because of emergencies that come up - bad tire, car dies, battery dead, whatever. That is what you need a savings for. Once you have a little put away, start investing - but do your homework. Smartmoney.com has some good info. so does Morningstar.com