Interesting timing question

[Cornellref]

Saw this today: Team A leads by 1 with 2.8 seconds remaining. A1 is shooting his second FT of a shooting foul and Team B players inform the lead that if they rebound a miss to grant an immediate timeout. A1 misses the FT, B1 catches the rebound and the ref grants a TO. The timekeeper lets 1 second come off the clock, which now reads 1.8 seconds. Should you put time back on the clock? How would you have handled this (would you talk to the timekeeper before the FT)? Clearly the catch and TO took less than 1 second. Or suppose the clock ran to zero and expired... Thanx for your help.