Please read many of the other threads about the varied surgery outcomes of other members.
Time is the real teller of success or not, could be 6 months -a year or more before you really know.
Due to possible scar tissue regrowth or excess growth.
I just posted a thread about a surgery results study the other day.
http://neurotalk.psychcentral.com/thread144722.html
Neuropathic TOS is the most problematic.
Unless something is clearly showing on the testing /Imaging what the cause of the problem is - did the Dr explain that??.
If not they are just hoping that the rib removal opens up the area and releases the compression,

There are good , moderate and not so good results, but once you surgery you can't go back.
I'm just saying this so you don't go into any surgery thinking it is for sure a cure...and end up disappointed. There are pros & cons but only you can decide what will be best for you.
Do the homework on it so you can feel very confidant of your choices - on surgery and drs.
Other thoughts- for nearly any surgery..
Get at least 2-3 independent opinions if you haven't yet.
Make sure your surgeon is a skilled expert in the surgery.
*Any meds for depression or anxiety?
Many with TOS have something for that in their mix - can help the pain meds work better too.
*What is an avg day pain level for you?
*Have you previously had any phys therapy, body/posture work, or done any kind of self care?
*Have you had quite a bit of testing & ruling out of other causes?
a member put together a post on testing here-
http://neurotalk.psychcentral.com/post720246-1.html
*How many years have you done that job?
just curious - my assembly job took about 3 yrs til the first RSI injury and then 1 injury per year till they all combined together 3 yrs later = chronic RSI/probable TOS
boytos has also been finding & posting some alternative therapies that may help with sticky/fibrosis /soft tissue adhesions- check out his threads..