I had a glue problem a few years ago, and talked to a few of the chemists at the glue company. (I can't remember exactly what brand the glue was anymore.) Anyway, the glue is designed to withstand all the chemicals that are applied during staining and finishing processes, and I was told that thinners and things wouldn't break it down, but it was recommended that I try a strong citrus-based cleaner to get it cleaned up.
I soaked it in some citrus cleaner for about a few days, and it did break down the glue some, although it didn't really dissolve it. Even after a week, it didn't dissolve the glue.
The back story:
I was working at a very rural Alaskan school. Everything had to be mail ordered, as the two local stores had very little on their shelves, and it was always really expensive. Everything that I found would get shipped to Seattle, and then I had to contact some companies at the port there and get them to ship it to Anchorage or Dillingham, and once there, I had to find someone to fly it to the village for me. It was a lot of work, and things go through a lot of different hands.
So, I had ordered a bunch of basic woodworking supplies from Grizzly, and the box containing the wood glue and all my bandsaw blades and a few other tools got handled a little rough or packed poorly, or a combination of the two. One of the gallon jugs of glue broke open and spilled all over the place. I was trying to save all the bandsaw blades that were basically ruined if covered with the glue. The citrus trick did work to a degree, and I saved a few of the blades.