A device for isolating tissue in the digestive tract including a biocompatible portion having a surface sized to cover the tissue to be isolated and also includes a plurality of micro-anchors attached to the biocompatible portion and extending from the surface, the micro-anchors sized to penetrate the mucosa of the tissue. A method for isolating tissue in the digestive tract in which an isolation element is delivered to a desired location in the digestive system; the isolation element having fixed thereto a plurality of micro-anchors. The method also includes attaching the isolation element to tissue at the desired location by causing the micro-anchors to penetrate the mucosa of the tissue.