If you are shaking hands with someone, then such dream represents the respect you have towards that certain person. The handshake could also indicate the beginning or the end of some situation or relationships in your waking life. If someone was giving you a handshake, then such dream shows how this certain person respects you. The dream could also denote that there is something or someone new in your waking life you are going to meet.
Handshake dream meaning
Read more about dreaming of Handshake in other dream meanings interpretations.