See the OP where I refer to David Wineland talking about the NIST optical clock. An optical clock is like the NIST Caesium atomic clock, but it uses optical frequencies instead of microwave frequencies. The NIST Caesium clock is used to define the second as the duration of 9,192,631,770 periods of radiation. It's like you're sitting in a canoe counting waves passing you by. If those waves are coming at you slower, your second is bigger. But because you count 9,192,631,770 waves before you declare that a second has elapsed, the frequency is then 9,192,631,770 Hertz by definition regardless of how fast the waves are moving. Also see gravitational time dilation on wiki and note where it says electromagnetic radiation and matter may be equally affected, since they are made of the same essence.
I was not asking for a description of NIST optical clocks. I was asking for a reference that describes a real light clock. It has been implied (to be kind in interpretation) that light clocks, as in your gif exist.
Also note my bold emphasis in your above quoted post.
The first, "may" is not the same as "is". It only suggests a possibility not a certainty!
The second in red/bold, is a judgement based on a particular theoretical interpretation.
I raise these issues not as a challenge to the possible accuracy of their description of what may be. Instead I once again, point out that you seem to lack an understanding of the difference between what is known to be, and what remains a theoretical conclusion or statement.