Like the title says, I feel like this would be a good quality of life addition. There have been a number of times where I get into a duty and someone leaves, while we wait for a replacement to come in, the timer to the duty ending keeps ticking down. It would be a very nice quality of life improvement to simply pause that timer while the party is looking for a replacement through Duty Finder so that the time it takes to find a replacement doesn't count against the players who are already in there. It would encourage people to stay and wait for a replacement instead of going back to the duty finder and queueing again to avoid potentially running out of time.