The phrase "aeons of time" is correct and usable in written English.
It can be used to emphasize an extremely long duration, often in a poetic or dramatic context.
Example: "The ancient ruins have stood in silence for aeons of time, witnessing the rise and fall of civilizations."
Alternatives: "ages of time" or "eternities of time".
Because of that dead butterfly history changed, in a whisper or a roar, all down the aeons of time.
Long extinct though these creatures were, separated from the age of steam trains and power looms by vast aeons of time, they were also thrillingly cutting edge.
Seol Ki-hyeon has aeons of time ten yeards out on the right, but Friedel is the equal of his low strike.
All the great world religions have in some sense managed to reproduce, across aeons of time and space, a certain intangible something a sensibility, an atmosphere, a particular sense of the divine which believers can recognise and respond to.
It took hundreds of millions of years to produce the life that now inhabits the earth — aeons of time, in which that developing and evolving and diversifying life reached a state of adjustment to its surroundings.
Seventy years later it is as if England's cricketers crossed not only the equator last Friday but several aeons of time too, dumping them in an arcane land where Harold Larwood's blistered feet are as worrisome as Darren Gough's bulging belly.
The energy system is very complicated; all our memories from aeons of times back are stored in the memory of ourselves.
She was married to music producer Damon Thomas from 2000 to 2003, which was an aeon of time compared to the 72-day marriage she endured with NBA star Kris Humphries in 2011.
Characters in the work of Pina Bausch can often pass aeons of stage time doing very little, but in Tanztheater Wuppertal's Ahnen (created in 1987) everyone seems busy.
Justine Jordan wrote in the Guardian : "In this dazzling tale of progress in miniature, Yves Gundron, yeoman farmer of the remote village Mandragora, asks us to imagine the aeons of undifferentiated time before technology gave humankind leisure for desire, contemplation, travel and doubt".
In certain systems, aeons were regarded positively as embodiments of the divine; in others, they were viewed negatively as vast media of time, space, and experience through which the human soul must painfully pass to reach its divine origin.
