You really don't have to start with a large amount. Instead, the important thing is to save over a longer period of time, preferably 10 years or more. Even if it's only a few francs - over the years, more and more will accumulate. You also benefit from compound interest - i.e. interest on your interest. It's best to start as early as possible and keep at it!
Pro tip: With cashback programmes, you automatically collect small amounts on a regular basis and you don't even have to deduct them from your own budget.