Methods and apparatus are provided that gather a patient's body tissue and then secure the gathered tissue in a reduced area utilizing a securing structure. The securing structure mainly resides on one side of the tissue to minimize or eliminate both foreign material and the amount of manipulation or activity on the other side of the tissue. The securing device is matched to the desired amount of tissue manipulation to minimize the structure. The gathered and secured tissue can surround a septal defect to obstruct or close the defect itself.