I don't know what Thoracic Outlet Syndrome is but is Lyrica ever used for pain control with it?
The combo of Lyrica with Tramadol works excellent for me. Personally I've found Lyrica to have little side effects but some people do. It was originally developed as an anti seizure drug if seizures concern you.
You better have good insurance though, they want big bucks for the drug.
Might want to ask your Dr if Lyrica would be good for you.