Thanks @cleary this is wonderful. I should try to clarify exactly what I was going for...

Time shifts take a pattern and move the entire thing e.g. ((1/16) <~) rotates a euclid pattern around by a 16th of that pattern, and works well if you have a euclid pattern divided by 16, 8, 4, etc.

What I was looking for manipulates the (1/16) in interesting ways. And in my opinion someCycles does that pretty well because it's adding that element of chance. I think "iter" and "whenmod" could do that as well.

I didn't know about plyWith, it seems that only affects the repeats and not the original? Very useful either way.

I was searching for a solution in which one could apply a function globally to simulate a DJ Screw-style beat chase. It works well if you have a pretty simple, straightforward 4/4 beat. I think I patterned an 1/8 note shift. Almost guaranteed this effect is not going to sound too great with some super odd euclid patterns but someone please prove me wrong!

Given your pattern you'll have it ply 2, which means, it'll take each element in the pattern and double it in the same way [something]*2 does. When using an euclid such as t(7,16), this means you'll have each active sixteenth turned into 2 consecutive thirty-seconds (note if you had used ply 3 they would be 3 forty-eighths and so on). What plyWith allows you to do is applying some function to the new sub-repetitions you get from using ply. In this case it simply shifts them back a 1/16. Essentially putting these repetitions a thirty-second before the original notes instead of after.

It's kind of as if you could do t(7,16,[0,-0.5]) ! (which you can't, euclids don't take fractionals there)