All the definitions online agree – this means the same as ‘Time and again’, not more, not less.
I can’t help seeing beyond that surface meaning of ‘over and over again’ to some of the beliefs about the end of time and what comes after it – not just the notion that the Big Bang and the expansion of the universe leads eventually to a collapse and a new start, but the ideas in mythology about a new creation after The End.
From Wikipedia, a brief summary of Ragnarok;
In Norse mythology, Ragnarök is a series of future events, including a great battle foretold to ultimately result in the death of a number of major figures (including the gods Odin, Thor, Týr, Freyr, Heimdallr, and Loki), the occurrence of various natural disasters, and the subsequent submersion of the world in water. Afterwards, the world will resurface anew and fertile, the surviving and returning gods will meet, and the world will be repopulated by two human survivors.
From Tolkien Gateway, a much longer extract about Tolkien’s version of this final battle, that draws to some extent on Ragnarok – Dagor Dagorath.
According to the prophecy, …Melkor will eventually discover how to break the Door of Night, allowing him to escape his imprisonment beyond the world. Intent on regaining his dominion over Middle-earth and avenging his previous defeat, the fallen Ainu will recreate his greatest servants (including Sauron) and destroy the Sun and the Moon. For the love of these, Eärendil will return from the sky and shall meet Tulkas, Manwë (or Eönwë his herald) and Túrin Turambar on the plains of Valinor. All the Free Peoples of Middle-earth will participate in this final battle, Elves, Men, and Dwarves alike. …Thus assembled, the forces of the Valar shall fight against Melkor. Tulkas will wrestle with him, but it will be by the hand of Túrin that finally death and utter defeat will be dealt to Melkor. Túrin will run his black sword Gurthang (Iron of Death) through Melkor’s dark heart, thus avenging the Children of Húrin, and the Pelóri Mountains will be levelled….
After the battle, the Silmarils will be recovered from the Earth, Sea, and Sky. Fëanor’s spirit shall be released from the Halls of Mandos, and he will finally surrender his prized creations to Yavanna, who will break the Simarils and use their Light to rekindle the Two Trees. With the flattening of the Pelóri, the light of the Trees will cover all of Arda. The battle will end and renew Arda’s existence: all the Elves shall awaken and the Powers will be young again. Also, according to Dwarven legends, they will help their maker Aulë recreate Arda in all its glory again.
Following this, there will be a Second Music of the Ainur. This song will sing into being a new world.
Lastly, from Revelation, that same concept of a Time that shall be after Time.
And I saw a new heaven and a new earth: for the first heaven and the first earth were passed away; and there was no more sea.
Starting again and getting it right is a recurrent thought in human belief and desire and speculative fiction – but stick to the meaning ‘over and over again’ if it’s less worrying!