  We present the first analysis of large-scale clustering from the Spitzer
Wide-area InfraRed Extragalactic legacy survey: SWIRE. We compute the angular
correlation function of galaxies selected to have 3.6 micron fluxes brighter
than 32 muJy in three fields totaling two square degrees in area. In each field
we detect clustering with a high level of significance. The amplitude and slope
of the correlation function is consistent between the three fields and is
modeled as $w(theta)=A\theta^{1-\gamma}$ with $A=(0.6\pm0.3)\times10^{-3},
\gamma=2.03\pm0.10$. With a fixed slope of $\gamma=1.8$, we obtain an amplitude
of $A=(1.7\pm0.1)\times10^{-3}$. Assuming an equivalent depth of K~18.7 mag we
find our errors are smaller but our results are consistent with existing
clustering measurements in K-band surveys and with stable clustering models. We
estimate our median redshift $z\simeq 0.75$ and this allows us to obtain an
estimate of the three-dimensional correlation function $\xi(r)$, for which we
find $r_0=4.4\pm0.1 h^{-1}$ Mpc.
