Either this will be a super short topic or drawn out talk, but I can't seem to find a concrete answer in the books.
Most whips in the game have an Ensnare quality, as is to no one's surprise. However, in the case of the actual Ensnare quality, immobilized description, or flavor text of any of the whips I've found, I do not see anything in how this relates to potential damage.
Is it unreasonable to expect a cryogenic whip or a light whip to continue to do damage to someone while they are entangled? Have you house ruled this into any of your games? Or do you simply ignore this weird little oddity or toss in an extra boost die or two for subsequent attacks?