Two-proton radioactivity is the most recently discovered radioactive decay mode of nuclei and it is a very actively developing field. The modern trend of this research lies in the studies of the correlations for the decay fragments. With correlation information becoming available, the 2p-decay studies are now turning into a field of research where precise information about structure and continuum dynamics can be obtained. A consistent three-cluster quantum-mechanical theory of two-proton radioactivity and "democratic" three-body decays of the coulombic nuclear systems has been developed in our works. This model have demonstrated significant predictive power, especially for "light" 2p emitters (say, up to 19Mg). For heavier 2p-emitters our model required improvements which became evident with availability of the precise experimental data. We are reporting the following new developments of our model. (i) Development of the methods for classical trajectory treatment of the remote (1000-100000 fm) WF region. This allows to achieve complete radial convergence of the momentum distributions for the decay fragments for heavy 2p emitters. (ii) Development of the methods to incorporate the nuclear structure information obtained within the relativistic mean-field approach into the three-body cluster model of 2p radioactivity. This allows to narrow drastically the lifetime range predicted by the three-cluster model and provide much more certain information about correlations. (iii) We also discuss the prospects of studies of the two-proton radioactivity including the ongoing experimental search for 26S isotope.