Silca says 12-24hrs of dry time is needed for their "Super Secret" drip wax.
Hot wax is easier in this regard - needing only 10-15 minutes to be dry and ready-to-ride. Hot wax is also simpler to apply, in that you just dunk the whole chain in the pot, then pull it out and let it dry. With drip wax you have to apply to each roller on the chain.