Is there something akin to this for tmux? It's essentially how I move around a screen but not quite as nice.

Yes - it's brilliant and I use it ~100 times/day when working with tmux. https://github.com/schasse/tmux-jump

It's key concept is that you jump to the first letter/number of a "word" and then navigate from there, and, the keys in the label are on the home row. 95% of the time it's less than two characters - I've got the plugin mapped to Alt-u (no meta).

A very common keystroke pattern for me is Alt-u, couple characters (jumps to the exact spot on the screen I want to be), [space] (to start selecting) f (for the character I want to go to) and maybe a couple ; (jump to next instance of that letter) to get to where I want to go, [enter] to copy into the copy-buffer.