Why give any kind of advantage to the team that already had a chance to give a clue but blew it?
My thinking is that the rule was put in so that a clue giver couldn't game the play/pass mechanic by just not saying anything on a two-clue word and letting their opponent give the first real clue, leaving an opening for them to pick it up on the rebound. (Chris C can confirm or deny if the wishes.) In that case, just getting control back after your opponent freezes on one of his/her chances is probably advantage enough, anyway.