A tissue cutting device includes a flexible elongate body including a channel extending therethrough, a distal member connected to a distal end of the elongate body. The distal member includes a lumen extending therethrough in communication with the channel and a recess extending through an exterior surface of the distal member along a portion of a length thereof. The recess extends includes a receiving structure at a distal end thereof. A cutting element is slidably received within the channel and the lumen so that the cutting element is movable between an open tissue-receiving configuration and a closed tissue-gripping configuration, in which a distal portion of the cutting element extends across the recess such that the distal end of the cutting element is received within the receiving structure, a portion of a length of the distal portion extending radially beyond an exterior surface of the distal member.