I don't know what kind of saw it is. But, if you can see the butterfly and it is indeed closing down to a very small sliver and the linkage or idle speed screw is not keeping it open you do not need to test for a leak. You have one.
Nothing about the carb that can make it idle too fast other than the butterfly sticking too open.
Nothing about the carb that can make it idle too fast other than the butterfly sticking too open.