A beverage cup sleeve configured to provide multiple grip handles and additional layering for thermal buffering through reconfigurable handles. The sleeve includes a first and a second web portion corresponding to a first and a second cavity portion provided at the outer side, respectively, and a first and a second notch provided next the first and the second cavity portions, respectively, thereby providing the additional layering when either the first or the second notch fastens the corresponding web portion selected to fold out. Additionally, the strip includes a third and a fourth web portion corresponding to a third and a fourth cavity portion provided at the outer side, respectively, and a third and a fourth notch provided next to the third and the fourth cavity portions, respectively, thereby providing additional layering when either the third or the fourth notch fastens the corresponding web portion selected to fold out.