It really depends on the reaction being quenched and how you are doing it.
If there is going to be gas production in the quench then slowly is a good call. Also as already stated if there is going to be heat produced by quenching (like most acid/base quenches) you should go slowly as well unless you know your compound is rock solid stable and the solvent won't boil out.
Generally start slowly, especially with a new reaction, until you know how its going to react. Better to possibly loose some yield due to that than because it erupted out of the flask.