  Any axionlike particle (ALP) intrinsically possesses flavorful couplings to
the standard model (SM) fermions arising as a consequence of the right-handed
flavor rotation within the SM. In this paper we discuss this intrinsically
flavored ALP, and explore the correlation of a minimal set of the couplings in
a view of coherence in flavor physics observables. We focus particularly on the
tau-lepton flavor violation (LFV). The ALP is assumed to be tau-philic on a
current-eigenstate basis, a la Pecci-Quinn. The ALP has the intrinsic flavorful
coupling structure for fermions, which allows coupling also to muon and
electron only in a right-handed specific manner. Several LFV processes are
generated including radiative tau decays and also anomalous magnetic moments of
electron and muon. We first pay attention to two separated limits: electron
scenario with the ALP coupled to tau which mixes only with right-handed
electron, and muon scenario as the muonic counterpart of the electron scenario.
It turns out that those scenarios are highly constrained by experimental
limits, to require a mu or electron - tau flipped feature in the mass
eigenbasis when coupled to the ALP. We then examine a hybrid scenario, and find
a fully viable parameter space on the ALP mass-photon coupling plane, which
limits the ALP mass to be (1.7 - 10) GeV and the ALP decay constant $f_a$ to be
(12.8 - 67.9) GeV. We find that the same-sign multilepton signal at Belle II is
a smoking-gun to probe the present ALP signal, and the polarization asymmetry
in LFV radiative $\tau$ decay is a punchline, which definitely predicts
preference of the right-handed polarization, in sharp contrast to the SM plus
massive Dirac neutrinos having the highly left-handed preference, and also
other light-new physics candidates. Possible model-building to underlie the
present third-generation specific ALP is also briefly addressed.
