Submillimetre galaxies (SMGs) are among the most luminous dusty galaxies in the Universe, but their true nature remains unclear; are SMGs the progenitors of the massive elliptical galaxies we see in the local Universe, or are they just a short-lived phase among more typical star-forming galaxies? To explore this problem further, we investigate the clustering of SMGs identified in the SCUBA-2 Cosmology Legacy Survey. We use a catalogue of submillimetre (850 μm) source identifications derived using a combination of radio counterparts and colour/infrared selection to analyse a sample of 610 SMG counterparts in the United Kingdom Infrared Telescope (UKIRT) Infrared Deep Survey (UKIDSS) Ultra Deep Survey (UDS), making this the largest high-redshift sample of these galaxies to date. Using angular cross-correlation techniques, we estimate the halo masses for this large sample of SMGs and compare them with passive and star-forming galaxies selected in the same field. We find that SMGs, on average, occupy high-mass dark matter haloes (Mhalo > 1013 M⊙) at redshifts z > 2.5, consistent with being the progenitors of massive quiescent galaxies in present-day galaxy clusters. We also find evidence of downsizing, in which SMG activity shifts to lower mass haloes at lower redshifts. In terms of their clustering and halo masses, SMGs appear to be consistent with other star-forming galaxies at a given redshift. ; AW acknowledges funding from the STFC. AW wishes to thank the University of Nottingham UDS group for many useful discussions. IRS and CCC acknowledge support from the STFC (ST/L00075X/1) and the ERC Advanced Grant DUSTYGAL (321334). IRS also acknowledges support from a Royal Society/Wolfson Merit Award. AM acknowledges funding from the STFC and a European Research Council Consolidator Grant (P.I. R. McLure). V W acknowledges support from the European Research Council Starting Grant (SEDMorph; P.I. V. Wild) ; Peer-reviewed ; Publisher Version