As far as I know, there is no "lag time" on starting the clock. Why? All clock starting events are known and can be well anticipated. The timer "knows" that the referee will be signaling the start any moment. For many clock stopping situations, the timer will not know that it imminent: timeouts, stepping OOB, fouls. They could happen at any time.
On this play, if more then 0.9 sec passed, in my opinion, after the tip, I'm waving off the bucket....I've done exactly that with a quick statement that the ball was touched "here" (pointing to the spot and signaling tip) and the clock didn't start.
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