Jesus tells Mary not to touch him [in his resurrected body] because he has not yet ascended to his Father [in his new body]. First meaning for that word is 'touch' but it could mean 'attach oneself to.'
I've always thought that he did ascend after he sent her away because he has to present himself as the high priest in heaven. Once the high priest puts on his robes and prepares himself and the sacrifice for the holy of holies, he cannot be touched until he has performed his duties, otherwise he has to start all over again. He says to her, go and tell my brethren that I am ascending to heaven. So I believe he ascended and returned in that time.
There are other words that mean cling
Kallao--to join, cleave to, cling to
9 Let love be without hypocrisy. Abhor what is evil ; cling to what is good.
16Or do you not know that the one who joins himself to a prostitute is one body with her? For He says, "THE TWO SHALL BECOME ONE FLESH." 17 But the one who joins himself to the Lord is one spirit with Him.
But, this word in John 20, haptomai, is translated 36 times as 'touch' and means just what it sounds like it means, 'touch.'
So I do feel he ascended during the three days he was 'dead' and led captivity captive to heaven. Then, he ascended in his resurrected body, before he met with his brethren, and presented himself to the Father in the real holy of holies [he is both high priest and sacrifice]. Then he ascended a third time where he sits at the right hand of God.
But, I'm not going to fight anyone over it. It's just the way I feel about it.
Hebrews 9:11 When Christ came as high priest of the good things that are already here, he went through the greater and more perfect tabernacle that is not man-made, that is to say, not a part of this creation.
Hebrews 9:12 He did not enter by means of the blood of goats and calves; but he entered the Most Holy Place once for all by his own blood, having obtained eternal redemption.
For Christ has entered, not into holy places made with hands, which are copies of the true things, but into heaven itself, now to appear in the presence of God on our behalf. Heb 9:24