Oklahoma statute section 11-810 under Title 47 of the motor vehicles laws of OK is titled Recording of Points for Convictions and here it states:

A. Except when the person is the holder of a commercial driver license and commits the offense while operating any vehicle or when the person who commits the offense is operating a commercial motor vehicle, the Department of Public Safety shall not report or assess points to the driving record of any person, as maintained by the Department, for a conviction of exceeding the speed limit by at least one (1) mile per hour but not more than ten (10) miles per hour.

B. Except when the person is the holder of a commercial driver license committing the offense while operating any vehicle or when the person committing the offense is operating a commercial motor vehicle, the Department of Public Safety shall not record or assess points for convictions for traffic offenses on the driving record of any person as maintained by the Department, where such conviction is for exceeding the speed limit prescribed in this title, but not exceeding the speed limit previously in force where the violation occurred.

C. Except when the person is the holder of a commercial driver license committing the offense while operating any vehicle or when the person committing the offense is operating a commercial motor vehicle, the Department of Public Safety shall not record or assess points against a person for out-of-state convictions of exceeding the speed limits of that state, provided the person did not exceed the speed limit previously in force as of January 1, 1974, in the state where the conviction occurred.

So it would appear that the officer was correct that no points are assigned if you are convicted of a speeding ticket for less than 10 mph over the posted limit. You can make sure by asking the clerk of the court about the fine amount and any points that may be assessed. You can also check with the OK DPS that maintains the driving records for Oklahoma drivers.