Razor Holder for Shower Organizer

My wife told me how frustrated she is because in order to clean our glass shower door, she has to detach the razor holder (which uses a suction cup and doesn't always stick properly) and wanted something that would clip on to a shower organizer that has the wire shelves. Enter my novice design skills...

This razor holder is specifically made to clip over the side of a wire shower organizer basket and hold the popular Gillette Venus brand of razor (although it would easily hold any brand razo