A bioabsorbable tissue support is inserted into a tissue of a subject during, or after, puncture of the tissue. The bioabsorbable tissue support includes a material that is gradually absorbed into the punctured tissue in time, and disappears. The bioabsorbable tissue support may be inserted standing alone, or in association with a permanent or temporary non-bioabsorbable tissue support, may define the shape of the punctured hole, and/or may release useful or ornamental chemicals into the punctured tissue. The chemical may include an antibacterial material, an antifungal material, an antimicrobial material, topical anesthetic, a temporary or permanent dye material, and/or an antiproliferative agent. The non-bioabsorbable tissue support may include a self-expanding material that enlarges the size of the puncture in time. The bioabsorbable tissue support may have the form of a tube and/or a mesh of variable peripheral shapes, be elongated, and/or have attachable and detachable end plates and pointed tips.