Aims. We seek to establish additional observational signatures of the effects of clumping in OB star winds. The action of clumping on strategic wind-formed spectral lines is tested to steer the development of models for clumped winds and thus improve the reliability of mass-loss determinations for massive stars. Methods. The Siiv λλ1400 resonance line doublets of B0 to B5 supergiants are analysed using empirical line-synthesis models. The focus is on decoding information on wind clumping from measurements of ratios of the radial optical depths (τrad(w)) of the red and blue components of the Siiv doublet. We exploit in particular the fact that the two doublet components are decoupled and formed independently for targets with relatively low w...