on Linux running XFCE and a current Sublime it is not possible to use the cut&paste function. The text ist cut, but actually not transferred to the clipboard. Every second try will work, that means a Cut - Undo - Cut - Paste or a Copy - Cut - Paste works. Nevertheless, this is not a viable solution and prevents people from using Sublime on Linux.
Bug is well known.
A workaround is to kill the process xfce4-settings-helper. Then Sublimes cut&paste function works as desired, but unfortunately all the keyboard shortcuts of XFCE are gone. Again a not viable workaround.
Some maybe new information:
Eclispe 3.% had the same problem, see the bugzilla link here: bugs.eclipse.org/bugs/show_bug.cgi?id=153809
It was solved with 3.6 and later. That means after long discussion it was recognized, that this is not a problem of XFCE, but of the applications (Eclipse or Sublime) clipboard handling.
I guess you will find more information within the Eclipse bug description.
Hope to see that issue solved, without it, currently Sublime is not useable.