[Indianaref]

Originally Posted by BillyMac

5-10-1 The referee may correct an obvious mistake by the timer to start or stop the clock properly only when he/she has*definite*information relative to the time involved. The exact time observed by the official may be placed on the clock.

5-10-2 If the referee determines that the clock malfunctioned or was not started/stopped properly, or if the clock did not run, an official’s count or other official information may be used to make a correction.

I believe that this (below) may be the only interpretation where officials are allowed to change the game clock without any type of "definite knowledge" (definite knowledge, a visual, or non-visual count).

Basketball Rules Interpretations - 2009-10
SITUATION 11: Team B scores a goal to take the lead by one point. A1 immediately requests and is granted a timeout with three seconds remaining in the fourth quarter. Following the time-out, Team A is awarded the ball for a throw-in from anywhere along the end line. A1 passes the ball to A2, who is also outside the boundary; A2 passes the ball to A1 who is inbounds and running the length of the court. The timer mistakenly starts the clock when A2 touches A1’s pass while standing outside the boundary. An official notices the clock starting on A2’s touch (a), before A2 releases the throw-in pass to A1, (b), while A2’s throw-in pass is in flight to A1, or (c), as soon as A1 catches the throw-in pass. RULING: This is an obvious timing mistake and may be corrected. In (a) and (b), the official shall blow the whistle, stop play and direct the timer to put three seconds on the game clock. Since the throw-in had not ended, play is resumed with a Team A throw-in from anywhere along the end line. In (c), the official may put the correct time on the clock, but must make some allowance for the touching by A1 – likely 10ths of a second, if displayed. The ball is put in play nearest to where it was located when the stoppage occurred to correct the timing mistake. A “do over” is not permitted in (c), since the throw-in had ended. (4-36; 5-10-1)

This is all about throw-in spot. Whether we go back to original spot or a new spot. Timing is not my question