When I download and attempt to launch RuneMate.jar on my 10.6 Mac OS X, a window pops up telling me to check the console for possible error messages. In the console it reads as "UnsupportedClassVersionError"
Uninstall all versions of Java currently on your machine and install the latest Java 8 (currently Java 8u40) 64bit from Oracle's download page and choose Mac OS X x64.