Physical exercising, say strength training, will see rapid gains at the start then less as time goes on. But also, you get sick one day and can't do as much, or you get very sick and stop working out for a couple weeks and you have to build up again.
Some progress is linear. Some progress is like a spiral, in that it cycles back around on itself.
The line and the cycle meet in the helix. Take two helixes, add cross-links and you've got the structure of DNA. But a DNA molecule could be all curled up in a bundly mess or it could be stretched out in an astronomically long line.
(How does the fact go? If you stretched out all the DNA in your body, it would be longer than from the couch to the TV? Or longer than you'd want to walk on Sunday afternoon? Or maybe it's longer than the typical North American would be willing to drive in 24 hours? Or was it from Earth to the Moon? Or was it 160 lightyears?)
The higher-order spiral-linear helical progress could itself be more line-like or more spiral-like.
Ambition can be a distant point in space (160 lightyears, the Moon, a Sunday afternoon walk) which demands linear progress. What is the ambition of cyclic progress? Perhaps it's an attitude: Every day that I'm well enough, I do strength training. Or: the goal of the game is to keep playing.
In the socio-political world of progress, if you gain respect, that's nice -- or perhaps desperately necessary -- but a more lasting change for you would be for you to gain power. In utopia, no one would be subject to insults (say); we would all have respect. But a utopia would be fragile indeed if half the people had no power. (Isn't it convenient that women already have the right to vote in the USA and isn't it confusing that women aren't now equally represented in government.) Diffusion of power would represent linear progress to me, while shifting around who gets respect seems more like a cyclical process.
Part of the frustration that I find with progress of all sorts is when it's cyclical but I want it to be linear. Some part of me wishes that my muscles would gain a tiny bit of strength every day in some unending line. But what I'm wrestling with here is a fundamental part of the human condition and a fundamental aspect of this everchanging reality.
Failing the linear progress possible with artificially straight paved roads and gasoline engines (pay no attention to the emissions behind the curtain), I suppose it's a blessing to have progress in any shape at all.