A tissue clipping device includes (a) a first body extending from a proximal end to a distal end and including a first channel extending therethrough and (b) a plurality of first arm elements, each of the plurality of first arm elements extending radially into the first channel from a first end coupled to the first body to a second end proximal of its first end so that tissue drawn into a distal end of the first channel proximally beyond the second end of the plurality of first arm elements is compressed between each of the plurality of first arm elements and retained in the first channel.