I don’t know about your country, but on savings accounts at banks in my country of residence there is no interest to speak of. There is an alternative though, online services such as TellerBack, where you earn an interest daily on the money in your savings account. Best of all, they give you the opportunity to get a few bucks for free to earn interest from. Myself I gathered $7 USD right after joining through their Bonus program and more can be earned for doing activities such as posting on forums. And you also get $1 USD straight into your saving account for each referral.
As far as I can see there is no requirement to make your own deposit, so why not get the account and get all the free money you can, then just let it sit and tick away?