Intraclonal recovery following X-irradiation in an in vitro study of L5178Y-S murine leukaemic cells is reviewed. This phenomenon was first described in 1994 occurring in the slowly growing clones ('slow clones') present among the survivors in irradiated cell populations. An attempt to explain these experimental data is given in terms of the present knowledge of the role of mitochondria in nontargeted radiation effects, with the focus on genomic instability and mtDNA-related epigenetic modifications of the nuclear genome. An understanding of this intraclonal recovery may be important in preventing tumour regrowth following radiotherapy, as well as in decreasing the risk of secondary radiation-induced malignancies.