Adjusting Clock to Remove Time Under 1 Second Remaining

[rekent]

With 0.9 seconds remaining on the clock, A1 is shooting the second of two free throws and misses. B1 is the first to touch the ball on the rebound and simultaneously places both hands on the ball thereby gaining player control. Also simultaneously, B1 requests and is granted a timeout by the lead official. The slot official does not chop the clock in because he states that he heard the lead's whistle as soon as he saw B1 catch (first touch) the ball.

Do you adjust the clock to remove time from the 0.9 seconds that was on the clock prior to the free-throw, or do you leave the clock at 0.9? If you adjust the clock, how do you support it by rule since you lack any definite knowledge or count that may be used (there is no video replay)?