A specific absorption rate of fractal-like assemblies of iron oxide nanoparticles in alternating magnetic field has been calculated using stochastic Landau-Lifshitz equation which simultaneously takes into account both the presence of thermal fluctuations of the nanoparticle magnetic moments, and strong magneto-dipole interaction between the nanoparticles of the clusters. No appreciable difference in the magnetic properties of various types of fractal clusters has been revealed. It is also found that the specific absorption rate of dilute assemblies of fractal clusters shows only weak dependence on the number of the nanoparticles within the clusters.