  Muon spin rotation/relaxation ($\mu$SR) and polar Kerr effect measurements
provide evidence for a time-reversal symmetry breaking (TRSB) superconducting
state in Sr$_2$RuO$_4$. However, the absence of a cusp in the superconducting
transition temperature ($T_{\rm c}$) vs. stress and the absence of a resolvable
specific heat anomaly at TRSB transition temperature ($T_{\rm TRSB}$) under
uniaxial stress challenge a hypothesis of TRSB superconductivity. Recent
$\mu$SR studies under pressure and with disorder indicate that the splitting
between $T_{\rm c}$ and $T_{\rm TRSB}$ occurs only when the structural
tetragonal symmetry is broken. To further test such behavior, we measured
$T_\text{c}$ through susceptibility measurements, and $T_\text{TRSB}$ through
$\mu$SR, under uniaxial stress applied along a $\langle 110 \rangle$ lattice
direction. We have obtained preliminary evidence for suppression of
$T_\text{TRSB}$ below $T_\text{c}$, at a rate much higher than the suppression
rate of $T_\text{c}$.
