We present the discovery of a faint , resolved stellar system , BLISS J0321 + 0438 ( BLISS 1 ) , found in Dark Energy Camera data from the first observing run of the Blanco Imaging of the Southern Sky ( BLISS ) Survey . BLISS J0321 + 0438 ( BLISS 1 ) is located at ( { \alpha _ { 2000 } } , { \delta _ { 2000 } } ) = ( 177 \fdg 511 , -41 \fdg 772 ) with a heliocentric distance of \mathrm { D _ { \odot } } = 23.7 ^ { +1.9 } _ { -1.0 } \mathrm { kpc } . It is a faint , M _ { V } = 0.0 ^ { +1.7 } _ { -0.7 } \mathrm { mag } , and compact , r _ { h } = 4.1 ^ { +1 } _ { -1 } \mathrm { pc } , system consistent with previously discovered faint halo star clusters . Using data from the second data release of the Gaia satellite , we measure a proper motion of ( \mu _ { \alpha } \cos \delta, \mu _ { \delta } ) = ( -2.37 \pm 0.06 , 0.16 \pm 0.04 ) mas/yr . Combining the available positional and velocity information with simulations of the accreted satellite population of the Large Magellanic Cloud ( LMC ) , we find that it is unlikely that BLISS J0321 + 0438 ( BLISS 1 ) originated with the LMC .