I have found Carbosol to do wonders with cleaning rosin. But with any solvent, test on an inconspicuous area before applying to the whole body. I know several bassists who have learned that the hard way...
Also, ventilation and/or respirators are good ideas when using this kind of agent. Bass players don't have that many spare brain cells to lose...
Of course I kind of like my "gilded" bridge.
Brian