Just talked to my brother about this (apparently he never checks his email). I asked him what to use to dissolve cyanoacrylate and he responded "a knife". (he has a good sense of humor).
Really though:
He said to try the following, and in the following order: Nail polish remover, paint thinner, muriatic acid which is a weak hydrochloric acid(HCl), Caustic which is sodium hydroxide(NaOH) which is a really strong base(my brother thinks this can be found in products like the two part liquid plumbers that you have to mix the two tubes of liquid together...he said he thinks one of those liquids is a weak caustic).
He said realistically none of these will probably work, and if the stronger ones do they would destroy the base material...
ALSO THIS IS VERY IMPORTANT:
He said if you do this do it in a ventilated area, and wear gloves, cover your arms, etc... as if you mix acids and bases it can cause very deadly gases such as hydrogen cyanide gas in this case, which is one of the most deadly chemicals on the planet and can kill you, take your skin off, etc....