Another Tex-Mex tradition for me is cucumber sliced, with lime and chili powder (ex: tajin, etc) or salt.
Anyone else eat something similar on carnivore?
Me personally, generally no, I don't eat that. Carnivore, in its strictest sense, means avoiding plant matter entirely. With a few exceptions (being out for dinner with friends, etc.,) I've eaten almost no plant matter in three years. Now there are a few different rationales for eating no plants. One is that most plants are by definition, toxic to some degree - and the reasoning for this is that, lacking teeth or claws, plants, who don't want to die any more than anyone else, can only defend themselves through chemical warfare. There is certainly plenty of controversy and argument to be had around this - there are definitely people who tolerate plant matter less well than others, for a variety of reasons, but are plants "toxic" for everyone, and in any amount? Maybe not.
Another rationale is that plant matter is completely redundant in terms of nutrition - there is no micro or macro nutrient found in plant matter that isn't present in beef and eggs, and more bioavailable. Example - spinach is supposed to be rich in iron, and it is ... but you actually absorb and use very little of the iron found in spinach. Most humans would be much better off eating just a few bites of steak than they would be eating a pound of spinach. This rationale I think is very well supported, and it's the reason I don't eat plants - I don't really want to eat most plant matter and I'm firmly convinced I don't need to eat it for any reason, so I just don't bother.
All that said: carnivore is not a religion, and if a little cucumber improves your life, I know of very few carnivores that would tell you not to have it, especially if you don't think it gives you any trouble. Also, interestingly, cucumber is a fruit - and fruits are the exception to the whole chemical warfare hypothesis - reason being, plants "want" you to eat the fruit in order to assist in the spreading of the seeds, so fruits are generally found to not have the toxins found in other parts of the plant, and they're usually colorful and appealing, because they're trying to lure in predators. Most fruit is sugary and perhaps therefore should be limited, but cucumbers of course are not, so it's kind of a free pass.