Hi; Savings is a noun. = an amount of money saved, and put in a safe place for the future. " It can also be an ajective: I have $500 in my savings account.
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I agree with Pam that the word "savings" in that context is incorrect, but not for the reason that "a" is used. There are many words than end with an 's' that are actually singular. Politics, linguistics, billiards, aerobics, savings.
The problem is that the word "savings" is actually confusing, and so it's come into usage that sometimes makes no sense. "savings" can be singular,