I just bought a Schick twinjector and cleaned it best I could. However, it's not good enough. I just wanted to know if it's possible to take it apart.
You can't take apart a lot of them, I think. But what you can do is get some pipe cleaners, then put the "key" into the injector (or a toothpick or something) to open the jaws and go to town with the pipe cleaner and some alcohol.
Worked great for my E-series injector.
There were several "E" models and only a minority of them opens for cleaning. If the spring does not slides aside easy, do not mess with it.The E series is one of the few that can be taken apart for cleaning.