Recent progress on muon g − 2 measurement prompts one to take it even more seriously. In the general two Higgs doublet model that allows extra Yukawa couplings, we take a simplified approach of single enhanced coupling. We fix the charged lepton flavor violating coupling, ρτµ = ρµτ , via the one-loop mechanism, for illustrative masses of the heavy scalar H and pseudoscalar A, where we assume mA = m H + . Since extra top Yukawa couplings are plausibly the largest, we turn on ρtt and find that LHC search for gg → H, A → τ µ gives more stringent bound than from τ → µγ with two-loop mechanism. Turning on a second extra top Yukawa coupling, ρtc, can loosen the bound on ρtt, but LHC constraints can again be more stringent than from B → Dµν vs Deν universality. This means that evidence for H, A → τ µ may yet emerge with full LHC Run 2 data, while direct search for τ ± µ ∓ bW + or tcbW + (plus conjugate) may also bear fruit.