  We examine whether the Large Magellanic Cloud (LMC) is currently losing its
stellar halo to Milky Way (MW) tides. We present a live $N$-body model for the
ongoing MW-LMC interaction that predicts a prominent stream of stars tidally
stripped from the progenitor LMC. We use this model to define a strategy to
search for stripped material in kinematic space. Of the available stellar
tracers, we conclude that samples of RR Lyrae stars provide the highest density
of kinematic tracers at present. Using a sample of RR Lyrae stars with Gaia
EDR3 astrometry we show that the LMC stellar halo in the Southern Galactic
hemisphere extends at least out to $\sim 30^\circ$ from the galaxy centre. In
addition, several leading arm candidates are found in the Northern hemisphere
as far above the disc plane as $b=+34^\circ$ (at 68$^\circ$ from the LMC).
