  We study a 2-dimensional SYK model with $\mathcal{N}=(0,2)$ supersymmetry.
The model describes $N$ chiral supermultiplets and $M$ Fermi supermultiplets
with a $(q+1)$-field interaction. We solve the model analytically and
numerically in the $N\gg 1$, $M\gg 1$ limit with $\mu\equiv \frac{M}{N}$ being
a free parameter. Two distinct higher-spin symmetries emerge when the $\mu$
parameter approaches the two ends of its range. This is verified by the
appearance of conserved higher-spin operators and the vanishing of chaotic
behaviors in the two limits. Therefore this model provides a manifest
realization of the widely believed connection between SYK-like models and
higher-spin theories. In addition, as the parameter $\mu$ varies we find the
largest Lyapunov exponent of this model to be slightly larger than that in
models with non-chiral supersymmetry. A tensor model without random couplings
that shares the same infrared physics is also introduced.
