No no no -- you absolutely cannot ever be arrested or thrown in jail for being delinquent on credit card debt, anywhere in the U.S. Debt collectors will actually sometimes threaten people with this, but they are lying and hoping to scare unsophisticated people.
I live in Texas and was formerly a financial advisor here.
The worst case scenario from a legal point is that they can sue you -- take you to court and say you owe them money, and hope the judge rules in their favor. This is at worst a CIVIL issue (lawsuit) and NEVER A CRIMINAL ISSUE (jail, arrest).
But employing lawyers and going to court is expensive in itself and they're busy hassling lots of people -- so they will probably NOT sue you (but no guarantees).
Even if they successfully sue you, the likely remedy from the judge is to work out a wage-garnishment plan that is based on your income and expenses -- which would likely be much better than whatever the debt collector is trying to get you to do -- as they will urge you to foolishly borrow money from relatives, etc. All they want is the money.
Key Point: IN TEXAS THE STATUTE OF LIMITATIONS ON DEBT IS 4 YEARS. If you make it to 4 years after missing a payment, without being sued, then you are home free -- there is no legal recourse for them to collect from you, ever.
All in all, most likely the only "punishment" is bad reports to the credit bureaus, damaging your credit report. But even that goes away after 7 years.
P.S., hey great information ECHO! Very interesting.
Google FDCPA (fair debt collection practices act) and "debt collectors", do some research.