That's exactly my issue.I think maybe I need to do the dash thing at the right time, but I'm not sure. I haven't tried that yet for some reason.
I've just done this section. You have to wait until the far left hook moves all the way to the bottom of its movement, then jump to the right, then jump again to the far right moving hook.
The only problem is I think you fall off if you're hanging on too long, so if the moving hook is taking too long to come down, quickly jump and grab again to reset your timer so to speak.
It's not actually necessary to do this by the way to progress the story, but you do get a nice weapon upgrade for doing it.