Some people have noted that this achievement can be a little fiddly to unlock, and I did find this myself, which is particularly annoying on a game with no chapter select - if you somehow didn't properly activate all the chimes, you're looking at another complete re-run of the game to this point to try again. Yucksters.
The problem is, the game doesn’t indicate in any way whether you’ve “rung” the chime enough for it to count towards the achievement, so you have to basically give it your best attempt when you are going for it.
Additionally, as far as I can tell, you need to ring every subset of chimes within a set for it to count as being fully rung. For example in the first set, you’ll see 5 subsets of chimes within the entire chime set, I believe you need to trigger all of these 5 subsets (not necessarily within the one life) to count as that chime being rung.
Anyway, there are seven chimes that need to be activated for this achievement, and they are all in the Temple level. I'll list them below:
1. 60% Progress - A single chime to the right of a slug. This is to introduce the mechanics of the chime.
2, 3 and 4. 61% Progress - Shortly after the last chime you'll ascend some steps behind a slug and there are 3 sets of chimes at the top of these stairs. I tended to ring the set on the right hand side first, running through them from left to right to match the movement of the slug as he looks towards you. Continue with the same character into the middle set and try and ring all the chimes. You’ll probably die here, so on the next life (or if you are going for the no death achievement, once you’ve reloaded the save), go for the left set.
5. Immediately after the previous set after turning a corner, there is another long set of chimes in between two sets of stairs. This will probably take a few attempts to make sure you’ve rung all the subsets in this chime.
6 and 7. 69% Progress – Later, after collecting the second light crystal, you’ll come to a point where you must activate two eye light switches to open a door in front of you leading to a slug and the next 2 sets of chimes. These are smaller and easier to ring in one attempt.
The achievement should pop upon ringing that last chime. Good luck!