A two-part adhesive composition exhibiting improved elasticity wherein its composition includes one or more acrylate or methacrylate ester monomers, a sulfur bearing compound, preferably a sulfonyl chloride, an amine promoter, preferably, an amine aldehyde reaction product, and a thermoplastic block copolymer component selected from the group consisting ofa. a linear styrene-butadiene-styrene copolymerb. a radial styrene-butadiene-styrene block copolymer with a plasticizer,c. a linear or radial styrene-isoprene-styrene block copolymer, andd. a linear or radial styrene-butadiene-isoprene-styrene block copolymer,and mixtures thereof.