A wear assembly having a longitudinal axis, said wear assembly comprising: a wear part having a plurality of interconnected exterior sides and a rearwardly opening socket having a first predetermined configuration, with said socket being larger toward an open end than toward the closed end, with the first predetermined configuration of said socket being at least partially defined by a pair of opposed and spaced interior surfaces separated by a first distance, and with said wear part further defining a first bore opening to said socket and to an exterior side of said wear part to one lateral side of the longitudinal axis defined by said wear assembly; an adapter having a nose portion configured to be longitudinally received and accommodated within the socket defined by said wear part, with said adapter nose portion having a second predetermined configuration proximating the first predetermined configuration of the socket defined by said wear part, and with the second predetermined configuration of said adapter nose portion being at least partially defined by two opposed and spaced exterior surfaces, separated by a second distance, with said first distance being greater than said second distance such that, when the adapter nose portion is arranged in operable combination with said wear part, a relief is defined between two spaced and confronting surfaces on the wear part socket and the adapter nose portion, with said relief longitudinally opening to a rear end of the tooth, and wherein said adapter nose portion further defines a counterbore opening to at least one of the exterior surfaces on said adapter nose portion and which generally aligns with the first bore defined by said wear part when said wear part and adapter nose portion are arranged in operative relation relative to each other, with said counterbore having an enlarged diameter of a predetermined depth at one end thereof characterized by a lock structure arranged within the counterbore defined by the nose portion of said adapter, with said lock structure having first and second axially aligned terminal ends which project in opposed axial direction from an enlarged head portion sized to removably extend into and be seated within the enlarged diameter of the counterbore defined by the nose portion of the adapter; and a securement member slidably insertable into the relief defined between the spaced and confronting surfaces on the socket defined by said wear part and the adapter nose portion through an opening defined by said wear part and in a direction generally normal to the longitudinal axis of said wear assembly, with said securement member at least partially filling said relief, bearing against the spaced and confronting surfaces on the wear part socket and the adapter nose portion, and engaging the enlarged head portion of said lock structure while maintaining the second terminal end of said lock structure in the first bore defined by the wear part thereby releasably coupling said wear part and adapter in operable combination relative to each other as long as said securement member is arranged in operative combination with said wear part and adapter. an adapter having a nose portion configured to be longitudinally received and accommodated within the socket defined by said wear part, with said adapter nose portion having a second predetermined configuration proximating the first predetermined configuration of the socket defined by said wear part, and with the second predetermined configuration of said adapter nose portion being at least partially defined by two opposed and spaced exterior surfaces, separated by a second distance, with said first distance being greater than said second distance such that, when the adapter nose portion is arranged in operable combination with said wear part, a relief is defined between two spaced and confronting surfaces on the wear part socket and the adapter nose portion, with said relief longitudinally opening to a rear end of the tooth, and wherein said adapter nose portion further defines a counterbore opening to at least one of the exterior surfaces on said adapter nose portion and which generally aligns with the first bore defined by said wear part when said wear part and adapter nose portion are arranged in operative relation relative to each other, with said counterbore having an enlarged diameter of a predetermined depth at one end thereof characterized by a lock structure arranged within the counterbore defined by the nose portion of said adapter, with said lock structure having first and second axially aligned terminal ends which project in opposed axial direction from an enlarged head portion sized to removably extend into and be seated within the enlarged diameter of the counterbore defined by the nose portion of the adapter; and a securement member slidably insertable into the relief defined between the spaced and confronting surfaces on the socket defined by said wear part and the adapter nose portion through an opening defined by said wear part and in a direction generally normal to the longitudinal axis of said wear assembly, with said securement member at least partially filling said relief, bearing against the spaced and confronting surfaces on the wear part socket and the adapter nose portion, and engaging the enlarged head portion of said lock structure while maintaining the second terminal end of said lock structure in the first bore defined by the wear part thereby releasably coupling said wear part and adapter in operable combination relative to each other as long as said securement member is arranged in operative combination with said wear part and adapter.