A low viscosity polymer having a linear or branched backbone derived from farnesene monomers and at least one terminal-end functionalized with a hydroxyl group. This polymer may be further hydrogenated to reduce unsaturation and acrylated, such that it may be incorporated into a LOCA composition. The LOCA composition may be used in a laminated screen assembly, such as a touch screen, for electronic devices by adhering the LOCA composition between an optically transparent layer, such as a cover glass, and a display. The cured LOCA composition has a refractive index similar to the optically transparent layer. A method of making the low viscosity polymer for the LOCA composition includes anionically polymerizing farnesene monomers, quenching a living end of the polymer to provide the hydroxyl-terminated polymer; hydrogenating the hydroxyl-terminated polymer; and reacting the at least partially saturated hydroxyl-terminated polymer with at least one reagent to provide an acrylate terminated hydrogenated polymer.