  The LHCb measurements of certain ratios of decay modes testing lepton flavour
non-universality might open an exciting world of new physics beyond the
standard model. The latest LHCb measurements of R_K* offer some new insight
beyond the previous measurement of R_K. We work out the present significance
for non-universality, and argue that claims of 5 sigma deviations from the SM
based on all present b -> s l+l- data including the ratios are misleading and
are at present still based on guesstimates of hadronic power corrections in the
b -> s l+l- angular observables.
  We demonstrate that only a small part of the luminosity of 50 fb^-1 foreseen
to be accumulated by the LHCb will be needed to offer soon a definite answer to
the present question whether we see a very small glimpse of lepton flavour
non-universal new physics or not.
  We also present new predictions for other ratios based on our analysis of the
present measurements of the ratios R_K^(*) and analyse if they are able to
differentiate between various new physics options within the effective field
theory at present or in the near future.
