Piggyvest is an app you could relate to the traditional saving system. It works just like your childhood personal piggy bank. This time, the app helps you develop a saving habit on a daily, weekly or monthly basis. You can only withdraw for free on the set withdraw dates ( you can only withdraw 4 times in a year). Piggyvest rewards you for saving too. It is available in both iOS and Android versions.
Other interesting apps you should check out include Monefy, My Finances, Good Budget, Wallet, and You Need a Budget.