A heat-shrinkable label made from or containing a terpolymer film containing propylene, ethylene and 1-hexene, wherein the terpolymer has: (i) a content of ethylene derived units ranging from 0.5 wt % to 5.0 wt %, (ii) a content of 1-hexene derived units ranging from 1.0 wt % to 6.0 wt %, (iii) a melt flow rate (MFR) (ISO 1133 230° C., 2.16 kg) ranging from 0.5 to 20 g/10 min, and (iv) a polydispersity index (P.I.) ranging from 2.0 to 7.0.