Kiss (Don't Shake) the Priest’s Hand ( Church Etiquette )

The traditional way to greet a bishop or priest is to ask his blessing and kiss his right hand. How do you do this? Approach the bishop or priest with your right hand over your left and say “Father (“Master,” in the case of a bishop), bless.” When the faithful receive such a blessing it is understood that Christ Himself offers the blessing through the hand of the priest or bishop. That being said, it is not "offensive" to reach out to shake their hand, thus not "expected" nor assumed from those who are not of the tradition of the Church.

Saints and Their Intercessions ( St. Silouan the Athonite )

To many people the Saints seem far removed from us. But the Saints are far only from people who have distanced themselves – they are very close to them that keep Christ’s commandments and possess the grace of the Holy Spirit. In heaven all things live and move in the Holy Spirit. But this same Holy Spirit is on earth too. The Holy Spirit dwells in our Church; in the sacraments; in the Holy Scriptures; in the souls of the faithful. The Holy Spirit unites all men, and so the Saints are close to us; and when we pray to them they hear our prayers in the Holy Spirit, and our souls feel that they are praying for us.
The Saints live in another world, and there through the Holy Spirit they behold the glory of God and the beauty of the Lord’s countenance. But in the same Holy Spirit they see our lives, too, and our deeds. They know our sorrows and hear our ardent prayers. In their lives they learned of the love of God from the Holy Spirit; and he who knows love on earth takes it with him into eternal life in the Kingdom of Heaven, where love grows and becomes perfect. And if love makes one unable to forget a brother here, how much more do the Saints remember and pray for us!
The holy Saints have attained the Kingdom of Heaven, and there they look upon the glory of our Lord Jesus Christ; but by the Holy Spirit they see, too, the sufferings of men on earth. The Lord gave them such great grace that they embrace the whole world with their love. They see and know how we languish in affliction, how are hearts have withered within us, how despondency has fettered our souls; and they never cease to intercede for us with God.
The Saints rejoice when we repent, and grieve when men forsake God and become like brute beasts. They grieve to see people living on earth and not realizing that if they were to love one another, the world would know freedom from sin; and where sin is absent there is joy and gladness from the Holy Spirit, in such wise that on all sides everything looks pleasing, and the soul marvels that all is so well with her, and praises God.
Call with faith upon the Mother of God and the Saints, and pray to them. They hear our prayers and know even our inmost thoughts. And marvel not at this. Heaven and all the saints live by the Holy Spirit and in all the world there is naught hidden by the Holy Spirit. Once upon a time I did not understand how it was that the holy inhabitants of heaven could see our lives. But when the Mother of God brought my sins home to me I realized that they see us in the Holy Spirit, and know our entire lives.
The Saints hear our prayers and are possessed from God of the strength to help us. The whole Christian race knows this. Father Roman told me that when he was a boy he had to cross the river Don in the winter, and his horse fell through the ice and was just about to go under, dragging the sledge with it. He was a little boy at the time, and he cried at the top of his voice: ‘St.Nicholas, help me pull the horse out!’ And he tugged at the bridle and pulled the horse and sledge out from under the ice. And when Father Matthew, who came from my village, was a little boy he used to graze his father’s sheep, like the prophet David. He was no bigger than a sheep himself. His elder brother was working on the other side of a large field, and suddenly he saw a pack of wolves rushing at Misha – Father Matthew’s name in the world – and little Misha cried out, ‘St. Nicholas, help!’ and no sooner had the words left his lips than the wolves turned back and did no harm either to him or his flock. And for a long time after that the people of the village would smile and say, ‘Our Misha was terribly frightened by a pack of wolves but St. Nicholas rescued him!’
And we know of many an instance where the Saints come to our help the moment we call upon them. Thus it is evident that all heaven hears our prayers.

(St. Silouan the Athonite by Archimandrite Sophrony Chap. XII On the Saints pp. 395-397)