The first CD player I used, which my parents bought in about 1988, showed the current time when you held down the "Fast Forward" button. I don't think I've ever owned one that didn't do this.
Nowadays, a good professional CD player (or DJ equipment) will have something like an infinite-turn knob, which you can use to seek.
Hmmm maybe I'm just remembering wrong then. It's been a long time since I had a dedicated CD player.
>maybe I'm just remembering wrong then.
Nope; many CD players, like the first one I got in 1986, had only a two-digit led display for the track number -- there was no time display at all.
EDIT: It was a Fisher Studio Standard that looked like this, so I guess it did show an "index number" while scanning through a track.
NB: I'm thinking about actual CD players here, not your CD through iTunes or something where you can click to skip on a progress bar.