Must say as a seller, my own experience shows that SECOND CHANCE  offers are accepted by bidders in some 2-3 cases of 10.
Yes, sometimes you have similar book, why not to offer it? But be sure that the second piece is not in worse condition that the first one...
Of caurse give the bidder option of 3-5 days to use second chance. One day chance might be too short to be seen by bidder, people use to have 1000 of other things to do,but to read the messages in e-box,also most of the people are absent minded so they easily forget to bid. Same as if after auction you are asked to relist item - be sure in 7-8 cases of 10 not to receive the bid from that bidder.... He was absent minded at first,it means he will be the same again and again. No doubt some might think the SECOND CHANCE  option is trick at all... The first hand refused it because of the condition, or the postage was too high or he cauld not fit the terms etc etc... zillions of reasons... But just be patient make SECOND CHANCE offers if You need to, there will be some result still.