Is it safe to have your saving account or a retirement program (in us dollars) in a lebanese bank?

Only if you believe that the Lebanese bank is rock solid, since there is no FDIC insurance on that account if it gets into financial difficulty or goes under, even if the account is denominated in dollars. Who would have thought four years ago that Wacovia bank would be insolvent in the next two years and go out of business? Or any of the over 100 banks that were disolved here in the U.S. in each of the last 3 years for that matter..