Before you try cutting and replacing, get some Plast-Aid, mix it a bit thin, pour it at the top of the fitting and let it run to the leak. You can put some tape at the bottom of the fitting so that the "liquid" will flow under the pipe. Then, mix it a bit thicker and apply it with your finger. Yeah, it will stick to skin, but comes off relatively easy. If you use gloves, they will just tear and make a mess