It involves giving someone another chance. Sometimes it will mean we release someone from a grudge that we held against them. We release them from our grip of resentment. We give them a clean slate.
That is the true sign of genuine giving. It is when you give in spite of whether someone on the other end of your gift deserves it or not.
Jesus was willing to forgive us in spite of the fact that we did not deserve it. He acted in an unconditional way. Jesus was truly all about giving when he forgave us!