Savings accounts are generally a good idea if you need a safe place to tuck away some money, but there are some cons. The main one is that they almost always have minimum balance requirements.
This means if you need some money, you will have to face penalties and fees to withdraw if it will make the balance lower than the minimum. Savings accounts also have lower interest than other options for keeping your money in savings.
Federal limits for withdrawing also apply for savings accounts. This means you can only withdraw money certain times a month and then you will have to wait until the next month if you need funds.