It is very important to save money, as that gives you the opportunity to have some money in bulk to start up a business or a given project. Saving money from your monthly or weekly income is very important.
Most persons become poor because they spend all the money they receive as salary and neglect savings. But just like the OP have rightly said, is saving enough? No. Because your need to invest your savings to bring in more money for you and in that your savings increase.