Basically, there are four ways to save money:
1) Move it and hide it so you don't spend it. This is the "Christmas Club approach" or the "take an extra $20 out every week and set it aside. On a small scale its the change jar. This is my approach - I set aside money every month into savings, and also save my "found" money - checks from stock dividends, my dependant care spending account, etc.
2) Don't spend money you would have spent. This is the "take your own coffee, bring lunch approach, skip the manicure, give up smoking" approach. Watch the little stuff - a girlfriend buys her son a $.75 Matchbox car every time they go to Target - adds up to nearly $40 a year - and he just looses the darn things anyway. It also works if you defer expenses. If you get your hair colored every six weeks for $40, every eight weeks will save you $40 in a couple months. An extra week between hair cuts will save money over the course of a year. Buying a box of ColorGirl and having your girlfriend cut your hair - or wearing it in the "soccer mom's ponytail" saves even more. If you need new shoes, can you put it off a month? A month will make your investment in the old shoes that much more economical (of course, if the shoes already have holes in them.....)
3) Don't spend as "much" money as your would have spent. Buy the same things, but coupon it. Or buy the cheaper version. Shop discount. Use less of stuff - if you can get buy with 90% of the laundry detergent and get the clothes just as clean, you end up saving money.
4) Find a way to bring more money in. Gargage sale or e-bay. A Saturday afternoon job at Target. Watching the neighbors kids one day a week. Accepting overtime.
Way one is really just moving money around. You haven't changed cash flow at all...but it really does help a lot of people (including myself) save. The rest of the ways actually change your cash flow, with #2 being the slowest way to savings.