  We revisit 't Hooft anomalies in (1+1)$d$ non-spin quantum field theory,
starting from the consistency and locality conditions, and find that consistent
U(1) and gravitational anomalies cannot always be canceled by properly
quantized (2+1)$d$ classical Chern-Simons actions. On the one hand, we prove
that certain exotic anomalies can only be realized by non-reflection-positive
or non-compact theories; on the other hand, without insisting on
reflection-positivity, the exotic anomalies present a caveat to the inflow
paradigm. For the mixed U(1) gravitational anomaly, we propose an inflow
mechanism involving a mixed U(1)$\times$SO(2) classical Chern-Simons action
with a boundary condition that matches the SO(2) gauge field with the (1+1)$d$
spin connection. Furthermore, we show that this mixed anomaly gives rise to an
isotopy anomaly of U(1) topological defect lines. The isotopy anomaly can be
canceled by an extrinsic curvature improvement term, but at the cost of
creating a periodicity anomaly. We survey the holomorphic $bc$ ghost system
which realizes all the exotic consistent anomalies, and end with comments on a
subtlety regarding the anomalies of finite subgroups of U(1).
