Long-distance effects on the forward-backward and longitudinal lepton polar
isation asymmetries in rare B --> (K, K*)l(+)l(-) decays are investigated.
The lepton asymmetries are found to be largely unaffected by the theoretica
l uncertainties in the long-distance contributions, induced both by the lon
g-range charming penguins in the l(+)l(-) channel and by the transition for
m factors in the meson channels, while they are mainly determined by the sh
ort-distance Wilson coefficients, providing in this way a test of the possi
ble presence of New Physics. We also show that within left-right models one
can expect a strong enhancement of the right-handed K* production in B -->
K*l(+)l(-) decays compared to models including only left-handed quark curr
ents. Hence an experimental study of the transverse asymmetry of the produc
ed K* mesons provides a dean possibility to discriminate between the MSSM a
nd LR extensions of the SM.