Yes, there are definite "dispensations," or "ages" in the sense that God's method of speaking and interacting with the people altered throughout time.
Heb. 1:1-3 -
"God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets,
2 Hath in these last days spoken unto us by his Son, whom he hath appointed heir of all things, by whom also he made the worlds;
3 Who being the brightness of his glory, and the express image of his person, and upholding all things by the word of his power, when he had by himself purged our sins, sat down on the right hand of the Majesty on high:"
In the beginning He spoke directly to the fathers. That was one dispensation, or method and it was not limited to only one nation or tribe. He dealt that way with all of those who believed and followed after Him.
He continued to speak to those faithful of all nations (Melchizedek, Jethro, Cornelius), even while He established the congregation of Israel in the Sinai desert, fulfilling the promises to Abraham. The covenant with the children of Israel began a new method, "dispensation," or "age" during which He spoke to the tribes of Israel through Moses, and then through Joshua, and the Levitical priesthood.
The children of Israel had been "holy," that is set apart for God, as an example to all of the nations (Ex. 19:5-6). Once established in the land of Canaan, God began speaking to them through prophets and judges. The two methods or systems - the patriarchal and the Mosaic covenant - ran side by side until of the two He "hath made both one" in Christ. Eph. 2:12-17,
"12 That at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world:
13 But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ.
14 For he is our peace, who hath made both one, and hath broken down the middle wall of partition between us;
15 Having abolished in his flesh the enmity, even the law of commandments contained in ordinances; for to make in himself of twain one new man, so making peace;
16 And that he might reconcile both unto God in one body by the cross, having slain the enmity thereby:
17 And came and preached peace to you which were afar off, and to them that were nigh." (KJV)
The "culmination of the ages" of 1 Cor. 10:11 is horribly translated in the KJV as "ends of the world," but is better translated in Young's as "end of the ages" The latter agrees with the Interlinear:
"these things more over [as] types happened to them were written moreover as admonition of us on whom the ends of the ages are arrived"
The ends of the ages, or the ends of the two different systems of dealing with mankind culminated in one method under the gospel of Christ during the first century AD. The destruction of the second temple and the old Mosaic sacrificial system in AD 70 was the "end" Gabriel had told Daniel would happen at the scattering of the "holy people", ie. Daniel's people.
"6 and he saith to the one clothed in linen, who [is] upon the waters of the flood, `Till when [is] the end of these wonders?'
7 And I hear the one clothed in linen, who [is] upon the waters of the flood, and he doth lift up his right hand and his left unto the heavens, and sweareth by Him who is living to the age, that, `After a time, times, and a half, and at the completion of the scattering of the power of the holy people, finished are all these.'" (YLT)
Holy is Strong's Heb. 6944, "qodesh" and means separated unto God, sacred. Daniel's people had been the holy people until God made all nations one who are reconciled to Him in Christ.
The once "holy people" of the remnant of Israel were scattered at the destruction of Jerusalem in AD 70. Thus, the culmination of the ages, the fulfillment of all of the OT prophesy for the salvation of Israel through the Messiah! And that culmination came / arrived upon those of the first century AD, those hearing Paul's words at that church in Corinth, in that same generation in which Christ spoke to the people as stated in Heb. 1:2.
On this side of that culmination, those who are in Christ are in the last and full dispensation / age / method of the vision of Isa 2:2,
" And it hath come to pass, In the latter end of the days, Established is the mount of Jehovah's house, Above the top of the mounts, And it hath been lifted up above the heights, And flowed unto it have all the nations." (YLT)
The same vision expressed in Micah 4:1,
"And it hath come to pass, In the latter end of the days, The mount of the house of Jehovah Is established above the top of the mounts, And it hath been lifted up above the hills, And flowed unto it have peoples."
Today, all people of all nations flow into the House of God whenever and wherever they are baptized (immersed) into Christ. God only has one method or system of dealing with the people now, and that is in and through Christ.
"While he is yet speaking, lo, a bright cloud overshadowed them, and lo, a voice out of the cloud, saying, `This is My Son, -- the Beloved, in whom I did delight; hear him.'" (YLT)
"...`I am the way, and the truth, and the life, no one doth come unto the Father, if not through me;" (YLT)
The culmination of the ages is the gospel of Christ, which took effect in the first century AD at His crucifixion, resurrection, and the full establishment of His kingdom with power and glory in AD 70.