Apparatus and methods for preventing prolapse of iris tissue through a surgical opening in the eye during an ophthalmic surgery. A flexible biocompatible polymeric shield is inserted into the anterior chamber of the eye, placed in position overlying the iris adjacent a surgical opening into the anterior chamber and is thus between the iris tissue and the surgical opening. As pressure inside the anterior chamber increases during the surgery, anterior movement of the iris toward any surgical opening in response to such pressure, also moves the shield anteriorly, such that the shield remains between the iris and the surgical opening. Thus, the shield blocks the surgical opening and prevents movement of eye material to and through the surgical opening. The surgical opening can still be accessed by surgical tools and materials from outside the eye by inserting such articles through the surgical opening and pushing such articles past the shield.