Radiative decays of tensor and axial mesons are considered in the framework of a previously proposed scheme, where the basic currents ofSU4 are dominated by vector mesons and exhibit a quark structure asymptotically. Agreement is found with previousSU3 estimates. The decay rates for ψ′ → γχ1,2 also agree with experiments and nonrelativistic estimates. Conversely, the χ1,2 → γJ/ψ widths have been found smaller by about a factor of two than those obtained in the n.r. bound-state picture. Our results are also compared with those previously obtained for the χ0-meson.