A container gripper assembly, comprising: a first jaw member comprising: a first insert holder comprising a first body, the first body comprising: a first concave section defining a first cavity; a second concave section defining a second cavity; and a first detent; a first pivotable insert positioned at least partially in the first cavity of the first insert holder and comprising a first concave surface, a first convex surface opposite the first concave surface, and a notch positioned on a surface of the first pivotable insert that is about perpendicular to the first concave surface, and wherein the detent is received into the notch; and a second pivotable insert positioned at least partially in the second cavity of the first insert holder and comprising a second concave surface; and a second jaw member comprising: a second insert holder; a third pivotable insert positioned at least partially in the second insert holder and having a third concave surface; and a fourth pivotable insert positioned at least partially in the second insert holder and having a fourth concave surface, wherein the first jaw member is movable towards the second jaw member to grip a container between at least the first pivotable insert and the third pivotable insert, and wherein at least the first concave surface and the third concave surface are pivotable to at least partially contact the container when the container is gripped. a first jaw member comprising: a first insert holder comprising a first body, the first body comprising: a first concave section defining a first cavity; a second concave section defining a second cavity; and a first detent; a first pivotable insert positioned at least partially in the first cavity of the first insert holder and comprising a first concave surface, a first convex surface opposite the first concave surface, and a notch positioned on a surface of the first pivotable insert that is about perpendicular to the first concave surface, and wherein the detent is received into the notch; and a second pivotable insert positioned at least partially in the second cavity of the first insert holder and comprising a second concave surface; and a first insert holder comprising a first body, the first body comprising: a first concave section defining a first cavity; a second concave section defining a second cavity; and a first detent; a first concave section defining a first cavity; a second concave section defining a second cavity; and a first detent; a first pivotable insert positioned at least partially in the first cavity of the first insert holder and comprising a first concave surface, a first convex surface opposite the first concave surface, and a notch positioned on a surface of the first pivotable insert that is about perpendicular to the first concave surface, and wherein the detent is received into the notch; and a second pivotable insert positioned at least partially in the second cavity of the first insert holder and comprising a second concave surface; and a second jaw member comprising: a second insert holder; a third pivotable insert positioned at least partially in the second insert holder and having a third concave surface; and a fourth pivotable insert positioned at least partially in the second insert holder and having a fourth concave surface, wherein the first jaw member is movable towards the second jaw member to grip a container between at least the first pivotable insert and the third pivotable insert, and wherein at least the first concave surface and the third concave surface are pivotable to at least partially contact the container when the container is gripped. a second insert holder; a third pivotable insert positioned at least partially in the second insert holder and having a third concave surface; and a fourth pivotable insert positioned at least partially in the second insert holder and having a fourth concave surface, wherein the first jaw member is movable towards the second jaw member to grip a container between at least the first pivotable insert and the third pivotable insert, and wherein at least the first concave surface and the third concave surface are pivotable to at least partially contact the container when the container is gripped.