Clinton never shut the government down. Clinton did not have the power to shut it down. Why are you changing history? I don't understand why people do that.
The congress passed continuing resolutions that would have kept the government running. President Clinton vetoed the resolutions, so there was no money for operations. That caused major portions of the government to shut down. unless you are really trying to parse the words, I'm not sure why it isn't fair to say Clinton shut the government down.