If you purchased this camera within the past year, then, the only safe thing to try before sending the camera for service is to use canned compressed air to blow out the area between the lens barrel and camera body since even a small amount of sand or grit can cause this problem but a camera this new should not experience this problem. It sounds like a factory defect.
Next, I would contact Fuji support directly by phone, (it should still be covered under the one year warranty)
Please keep in mind that my diagnosis & solutions provided are directly dependent on the accuracy of your description of the problem. As with any "do it yourself" fixes, success is a "team effort", since I can't see or touch the camera, and relies on the customer's manual dexterity and ability to follow the instructions well. If the "do it yourself" approach doesn't work out for you and you need conventional repair, please let me know.
If you require additional information, please use the Reply to Expert Tab to contact me. Click the ratings only after our exchange is complete and you are satisfied.
If you are satisfied that my answer is accurate or has provided a reasonable alternative solution, please do not forget to rate my answer OK, Good or Excellent.