I've never had this problem, but it's because I wrapped my cable in a plastic spiral protector that effectively makes the cable thicker. Now my reason for the spiral protector is not to prevent tangles, it's because I have a cat who has chewed through at least half a dozen cables with soft rubber coatings (including some painfully expensive headphone cables), but he leaves hard plastic alone.

If you wanted to try it yourself, you can search for the cable protectors on amazon, they're cheap. The catch is that (a) that they make the cable a fair bit bulkier , and (b) that that they take forever to install.

I also have the same dac/amp on my desk, good choice!