We present the photometric and spectroscopic evolution of the type Ic supernova LSQ14efd , discovered by the La Silla QUEST survey and followed by PESSTO . LSQ14efd was discovered few days after explosion and the observations cover up to \sim 100 days . The early photometric points show the signature of the cooling of the shock break-out event experienced by the progenitor at the time of the supernova explosion , one of the first for a type Ic supernova . A comparison with type Ic supernova spectra shows that LSQ14efd is quite similar to the type Ic SN 2004aw . These two supernovae have kinetic energies that are intermediate between standard Ic explosions and those which are the most energetic explosions known ( e.g . SN 1998bw ) . We computed an analytical model for the light-curve peak and estimated the mass of the ejecta 6.3 \pm 0.5 \ > M _ { \odot } , a synthesized nickel mass of 0.25 \ > M _ { \odot } and a kinetic energy of E _ { kin } = 5.6 \pm 0.5 \times 10 ^ { 51 } \ > \mathrm { erg } . No connection between LSQ14efd and a GRB event could be established . However we point out that the supernova shows some spectroscopic similarities with the peculiar SN-Ia 1999ac and the SN-Iax SN 2008A . A core-collapse origin is most probable considering the spectroscopic , photometric evolution and the detection of the cooling of the shock break-out .