  Tree-level accidental symmetries are known to play a fundamental role in the
phenomenology of the Standard Model (SM) for electroweak interactions. So far,
no significant deviations from the theory have been observed in precision,
flavour and collider physics. Consequently, these global symmetries are
expected to remain quite efficient in any attempt beyond the SM. Yet, they do
not forbid rather unorthodox phenomena within the reach of current LHC
experiments. This is illustrated with a vectophobic Two-Higgs-Doublet-Model
(2HDM) where effects of a light, flavour-violating and custodian (pseudo)scalar
might be observed in the $B_s\to\mu^+\mu^-$ decay rate and in the diphoton
invariant mass spectrum at around 125 GeV.
