Yes you can do compression, if the text is compressible. The playground [1] has a "run length encoding" example.

Maybe you meant sorting. You can implement sorting algorithms, as long as you store the information which entries were swapped. (To "unsort" the entries when running in reverse). So, an array that is already sorted doesn't need much additional information; one that is unsorted will require a lot of "undo" space. I think this is the easiest example to see the relation between reversible computing and thermodynamics: in thermodynamics, to bring "order" to a system requires "unorder" (heat) somewhere else.

There are also examples for encryption / decryption, but I find compression and sorting more interesting.

[1] https://topps.diku.dk/pirc/?id=janusP

You could package all your data into a zip using this language but you would also have a worthless stretch of memory seemingly filled with noise / things you’re not interested in.