What kind of Spire cooler? If it's better than the stock one provided with the E8500, then it's fine, obviously.
If you want to OC, I'd suggest you get a better cooler, such as the Thermalright Ultra 120 Extreme, which may be overkill.
Is this the cooler? http://www.newegg.com/Product/Product.aspx?Item=N82E16835166037