I've heard someone talk about "dissolving" a Roth IRA. Any idea what they might be refering to? If it's all after tax money what affect, if any, would a dissolution have if no further contributions were going to be made?

"Dissolving" a Roth IRA? Haven't heard that one. It's not a term of art. Dissolving would likely imply more than just stopping contributions. Dissolving suggests that the Roth IRA will no longer be such. That would involve distribution.

It is probably worth asking the person using that terminology specifically if they mean distribution of the Roth IRA (or perhaps just stopping contributions).