The present disclosure relates to methods for making elastomeric laminates that may be used as components of absorbent articles. During the process of making the elastomeric laminate, elastic material may be advanced and stretched in a machine direction and may be joined with one or more substrates advancing the machine direction. The methods and apparatuses according to the present disclosure may be configured to automatically isolate elastic materials that may break during the assembly process. The apparatuses may include a base member and one or more one-way snares projecting from the outer surface of the base member. The one-way snares are adapted to permit advancement of continuous elastic strands in a first direction, and are also adapted to prevent an end portion a broken elastic strand from retracting in a second direction, wherein the second direction is opposite the first direction.