The Swift/UVOT began settled observations of the field of GRB 120624B 60hours 45mins after the BAT trigger (Barthelmy et al., GCN 13381). No optical afterglow is found at either of the XRT positions (Littlejohns et al. GCN 13394) nor the HAWKI position reported by D'Avanzo et al. (GCN 13391) in the initial UVOT exposures. Preliminary 3-sigma upper limits using the UVOT photometric system (Breeveld et al. 2011, AIP Conf. Proc. 1358, 373) for the first finding chart (FC) exposure and subsequent summed exposures are: Filter T_start(s) T_stop(s) Exp(s) Mag white_FC 218726 218864 136 >20.9 white 218865 260947 7027 >23.1 The magnitudes in the table are not corrected for the Galactic extinction due to the reddening of E(B-V) = 0.06 in the direction of the burst (Schlegel et al. 1998).