No syringes or sharps, even if clipped, can be disposed of in the garbage. Used syringes should be placed in a puncture resistant container with a tight fitting lid, labeled "SHARPS, DO NOT RECYCLE" and taken to the Transfer Station and put in the special collection bin for disposal - free (limit one gallon per trip).
Check with your pharmacy. Many stores that sell sharps containers accept the full containers for disposal.
Ask your health care provider if you can return used sharps to his/her office or clinic.