Question: OS X doesn't allow me to cut files. Are there any applications to enable this?

Answer: 
If you can pay some you can use [Moveaddict](http://www.apple.com/downloads/macosx/system_disk_utilities/moveaddict.html):

![alt text](https://i.stack.imgur.com/G3b6r.jpg)

And also I found "[this solution](http://lifehacker.com/5622046/cut-and-paste-files-in-os-xs-finder-with-automator-services)" but I didn't test it myself.
[Path Finder](http://www.cocoatech.com/) supports cutting & pasting files, though I can't think of a case where I'd want to cut & paste that drag & drop wouldn't work.