My little gio has a broken bushing or something on the back so it is very loose. Has this happened to anyone else?

 

You need to inspect the machine and find out what the exact problem is. The yamoto 50 I have had a 1" - 1.5" long crack in the rear swingarm. There was no jumping or other hard riding either just garbage metal. Take a closer and report back and there will probably be ideas on how to fix it.