The dynamics of the two components of self-assembled diblock polyisoprene (PI)-polydimethylsiloxane (PDMS) copolymers is investigated by means of broadband dielectric spectroscopy. By varying the size of the PDMS blocks, different PI segregation geometries are obtained, namely lamellas, cylinders, and spheres, with typical sizes in the range 6-16 nm. In this way we identify the effects of nano-structure formation on the dielectric relaxation of the polymer components-both the α-relaxation of both blocks as well as the normal mode of PI. Two different situations are explored: i) the PDMS dynamics is detected in a temperature range where the PI phase is frozen ii) the PI dynamics is detected in a temperature range where the PDMS phase is highly mobile. Thus, using a single system the similarities and differences between hard-and soft-confinement are investigated.