Tarry here, I pray thee - He either made these requests through humility, not wishing any person to be witness of the honor conferred on him by God, or with the desire to prove the fidelity of Elisha, whether he would continue to follow and serve him.

Tarry here

Ruth 1:15,16 And she said, Behold, your sister in law is gone back to her people, and to her gods: return you after your sister in law...

2 Samuel 15:19,20 Then said the king to Ittai the Gittite, Why go you also with us? return to your place, and abide with the king: for you are a stranger...

John 6:67,68 Then said Jesus to the twelve, Will you also go away...

As the Lord

2 Kings 2:4,6 And Elijah said to him, Elisha, tarry here, I pray you; for the LORD has sent me to Jericho. And he said, As the LORD lives...

2 Kings 4:30 And the mother of the child said, As the LORD lives, and as your soul lives, I will not leave you. And he arose, and followed her.

1 Samuel 1:26 And she said, Oh my lord, as your soul lives, my lord, I am the woman that stood by you here, praying to the LORD.

1 Samuel 17:55 And when Saul saw David go forth against the Philistine, he said to Abner, the captain of the host, Abner, whose son is this youth?...

1 Samuel 25:26 Now therefore, my lord, as the LORD lives, and as your soul lives, seeing the LORD has withheld you from coming to shed blood...

Jeremiah 4:2 And you shall swear, The LORD lives, in truth, in judgment, and in righteousness; and the nations shall bless themselves in him...

I will not

Ruth 1:16-18 And Ruth said, Entreat me not to leave you, or to return from following after you: for where you go, I will go; and where you lodge...

2 Samuel 15:21 And Ittai answered the king, and said, As the LORD lives, and as my lord the king lives, surely in what place my lord the king shall be...

1 John 2:19 They went out from us, but they were not of us; for if they had been of us, they would no doubt have continued with us...

Beth-el

Genesis 28:19 And he called the name of that place Bethel: but the name of that city was called Luz at the first.

1 Kings 12:29,33 And he set the one in Bethel, and the other put he in Dan...

1 Kings 13:1,2 And, behold, there came a man of God out of Judah by the word of the LORD to Bethel: and Jeroboam stood by the altar to burn incense...

Gentleness Succeeding Strength
'He took up also the mantle of Elijah that fell from him, and went back, and stood by the bank of Jordan; 14. And he took the mantle of Elijah that fell from him, and smote the waters, and said, Where is the Lord God of Elijah? and when he also had smitten the waters, they parted hither and thither: and Elisha went over. 15. And when the sons of the prophets which were to view at Jericho saw him, they said, The spirit of Elijah doth rest on Elisha. And they came to meet him, and bowed themselves …
Alexander Maclaren—Expositions of Holy Scripture

Formation and History of the Hebrew Canon.
1. The Greek word canon (originally a straight rod or pole, measuring-rod, then rule) denotes that collection of books which the churches receive as given by inspiration of God, and therefore as constituting for them a divine rule of faith and practice. To the books included in it the term canonical is applied. The Canon of the Old Testament, considered in reference to its constituent parts, was formed gradually; formed under divine superintendence by a process of growth extending through …
E. P. Barrows—Companion to the Bible

The Call of Elisha
God had bidden Elijah anoint another to be prophet in his stead. "Elisha the son of Shaphat . . . shalt thou anoint to be prophet in thy room" (1 Kings 19:16), He had said; and in obedience to the command, Elijah went to find Elisha. As he journeyed northward, how changed was the scene from what it had been only a short while before! Then the ground was parched, the farming districts unworked, for neither dew nor rain had fallen for three and a half years. Now on every hand vegetation was springing …
Ellen Gould White—The Story of Prophets and Kings