If you know how much time was on the clock when the foul occurred, you put that much time back on the clock, regardless of whether it's more or less than one second.
If you don't know what was on the clock, then you ask your partners for help. If they don't know, then you ask everyone at the table (timer, shot clock operator, scorer, visiting scorer, computer-stat guy) for help.
If nobody knows the exact amount of time to put back on the clock, but you are sure that the foul occurred before the horn, I think you have to put something on the clock, even if it's just 0.3.
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