Yup, it's a Pac-Man clone. Pretty good one too, despite being black and white. Game speed is good (though can be tweaked via compile options), ghosts are suitably evil, and fruit appears exactly how you expect it. No tunnels though.
Note: I had originally assumed this game was released in 1992 due to timestamps in the archive, but further examination of the OS/2 version's readme shows that the X version predates that one. Guess that makes this article technically out-of-order. Oh well.
The following is a sample session in which I clear one maze, then fail on the second.
Chomp can be found in the SunSITE archives at ibiblio.org. It even uses compress (shudder).
When attempting to run on a modern Linux machine, it generates a Segmentation fault. If you want to debug it, great, but to just play the game, I recommend an older Linux distro.
More general information on old X games, including build tips can be found in the Old X Games article.
If the above video does not work for you, it is also available on my YouTube channel.