If you look at the arrow of time, that runs parallel to a human life, from birth to death, things do not repeat, exactly. Rather there is constant change in our bodies via the stages of life and DNA. Life is not cyclic except in some abstract sense.
The human body replaces all the atoms in all its cells, every seven years. We superficially may appear to be the same person. However, seven years from now, we are totally renewed chemically. In a sense, there is a seven year repeat cycle to the human life. However, but it is not a repeating energy wave, but more like a spiral staircase.
If we look at a spiral in 2-D; look at the helix from above, a cyclic process or wave, appears to repeat, every seven years, like an energy clock. But in 3-D reality, the spiral never repeats, due to movement in the z-axis; entropy. Cyclic energy clocks represent time as a 2-D process, whereas an entropy clock explains time as a 3-D process. This is more advanced, but it is more realistic based on the arrow of time.
If we look at the universal red shift, energy, over time, is actually following the path of a spiral. This is because the wavelength and frequency is changing with time; wavelength gets longer with time. The repeat cycle is getting longer and longer; center to perimeter. This can be attribute to the entropy increase implicit of expanding space-time.
But that would depend where in the Universe you are .
What would be a red shift for us would be a blue shift for them for instance .