Not at all. The Irish financial crisis was (in part) caused by the Irish Government injecting money into their banks. The problem now is that, while the banks have got money, the Irish Government hasn't. So (if others hadn't come to the rescue) you would have only needed to be concerned if you were owed money by the Irish Government (either through holding Irish bonds or through having business contracts with government agencies).
Alternatively, you might have needed to be worried if you'd got money invested into a BRITISH bank because, for example, the Royal Bank of Scotland has loaned the Irish Government a massive amount of money.
Chris