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 µm fluxes brighter than 32 \mu Jy 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 \pm 0.3 ) \times 10 ^ { -3 } , \gamma = 2.03 \pm 0.10 . With a fixed slope of \gamma = 1.8 , we obtain an amplitude of A = ( 1.7 \pm 0.1 ) \times 10 ^ { -3 } . Assuming an equivalent depth of K \approx 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 \pm 0.1 h ^ { -1 } Mpc .