that's an interesting idea. how can we implement that without it becoming awkward?
the problem i see is this:
it is unexpected, so the interviewee doesn't know what to make of that offer.
i don't know how much time to give them, and they don't know how much time they need. they also don't know how much time they should take.
i don't even know if they are the type that likes to take a quiet time to think. if they aren't then that offer could come across as a suggestion that their answer is wrong and they should think about it more.
at best it would be some institutionalized coffee-break, like we do the interview in two parts, first we are doing a bunch of exercises, then we take a break and after the break we do something else, but the interviewee is offered to add thoughts on the exercises that they may have come up with during the break.