Q: If I was convicted of a misdemeanor offense two years ago, can I still get a concealed handgun license? A: No. Let's take DWI as an example. DWI (first offense) is a Class B misdemeanor, and a person is not eligible for a licese for five years after a conviction for a Class A or Class B misddemeanor or for the offense of disorderly conduct. A "conviction" includes cases that were dismissed after you completed probation or deferred adjudication. If you have been convicted of two or more alcohol or drug-related misdemeanor offenses within the past 10 years, you may not eligible.