First Dinosaur Tail Found Preserved in Amber (nationalgeographic.com)
The tail of a beautiful, feathered dinosaur has been found perfectly preserved in amber from Myanmar. It is a huge breakthrough that could help open a new window on the biology of a group that dominated Earth for more than 160 million years. From a report on the National Geographic: The semitranslucent mid-Cretaceous amber sample, roughly the size and shape of a dried apricot, captures one of the earliest moments of differentiation between the feathers of birds of flight and the feathers of dinosaurs. Inside the lump of resin is a 1.4-inch appendage covered in delicate feathers, described as chestnut brown with a pale or white underside. CT scans and microscopic analysis of the sample revealed eight vertebrae from the middle or end of a long, thin tail that may have been originally made up of more than 25 vertebrae. NPR has a story on how this amber was found. An excerpt from it reads: In 2015, Lida Xing was visiting a market in northern Myanmar when a salesman brought out a piece of amber about the size of a pink rubber eraser. Inside, he could see a couple of ancient ants and a fuzzy brown tuft that the salesman said was a plant. As soon as Xing saw it, he knew it wasn't a plant. It was the delicate, feathered tail of a tiny dinosaur.
AFAIK you don't want to mess with solvents when it comes to amber. The stuff's origin is resinous could theoretically be attacked with something like turpentine or a petroleum solvent. However the amber is hard; you'd be better off dealing with it like paleontologists approach dinosaur bones in rock.
Ultimately though it's probably all a bad idea. Amber has proven itself to be an ideal preservation mechanism, lasting tens or hundreds of millions of years. Once the specimen is released from the amber shell, it is vulnerable to oxidation, fungal attack, physical disturbance and all the rest. It's the sort of thing you could consider for a few of your less-valuable specimens. You don't want to ruin your best stuff on some quixotic quest to make it 'better'.
It would be a bit like approaching a dinosaur skeleton, fully restored and in museum display quality. Then going to the keepers of the displays and saying, "I want to free the display specimens from the obscuring qualities of the glues and lacquers, the unnatural steel support structures holding it up, the clearly fake restored components, and the interference of the display cases and presentation stands!"