Devices and methods for clamping tissue and/or moving two tissue structures together by moving two plates or arm together. The pressure or force applied to the tissue may be used to bring the tissue together, to seal an opening or to cut through and remove a portion of the tissue. In one procedure disclosed, a clip applier may be used to apply one or more clips to the left atrial appendage of the heart to prevent clots from the left atrial appendage from embolizing and causing harm to the patient, such as a stroke.