We present the first ALMA observations of the closest known extrasolar debris disc . This disc orbits the star \epsilon Eri , a K-type star just 3.2 pc away . Due to the proximity of the star , the entire disc can not fit within the ALMA field of view . Therefore , the observations have been centred 18″ North of the star , providing us with a clear detection of the northern arc of the ring , at a wavelength of 1.3 mm . The observed disc emission is found to be narrow with a width of just 11-13 AU . The fractional disc width we find is comparable to that of the Solar System ’ s Kuiper Belt and makes this one of the narrowest debris discs known . If the inner and outer edges are due to resonances with a planet then this planet likely has a semi-major axis of 48 AU . We find tentative evidence for clumps in the ring , although there is a strong chance that at least one is a background galaxy . We confirm , at much higher significance , the previous detection of an unresolved emission at the star that is above the level of the photosphere and attribute this excess to stellar chromospheric emission .