We consider the phenomenological signatures of Simplified Models of Flavourful Leptoquarks, whose Beyond-the-Standard Model (SM) couplings to fermion generations occur via textures that are well motivated from a broad class of ultraviolet flavour models (which we briefly review). We place particular emphasis on the study of the vector leptoquark ∆ µ with assignments (3, 1, 2/3) under the SM's gauge symmetry, SU (3) C × SU (2) L × U (1) Y , which has the tantalising possibility of explaining both R K ( ) and R D ( ) anomalies. Upon performing global likelihood scans of the leptoquark's coupling parameter space, focusing in particular on models with tree-level couplings to a single charged lepton species, we then provide confidence intervals and benchmark points preferred by low(er)-energy flavour data. Finally, we use these constraints to further evaluate the (promising) Large Hadron Collider (LHC) detection prospects of pairs of τ -flavoured ∆ µ , through their distinct (a)symmetric decay channels. Namely, we consider direct third-generation leptoquark and jets plus missing-energy searches at the LHC, which we find to be complementary. Depending on the simplified model under consideration, the direct searches constrain the ∆ µ mass up to 1400-1750 GeV when the branching fraction of ∆ µ is entirely to third-generation quarks (but are significantly reduced with decreased branching ratios to the third generation), whereas the missingenergy searches constrain the mass up to 1150-1500 GeV while being largely insensitive to the third-generation branching fraction.