"I spent a lengthy amount of time in Elsweyr on a trip to help a friend with her project, and during that time I learned what I could of Ta'agra. My friend noted how quickly the language's habits slipped into my Tamrielic, and laughed about how despite my notable accent in Ta'agra, my Tamrielic made me sound like a local."
Ta'agra is spoken by Khajiit hailing from Elsweyr, and though many Khajiit can speak Tamrielic, those who are fluent in Ta'agra may find Ta'agra seeping into their Tamrielic as loan words and the tendency to talk in third person.
Ta'agra has its own written script, but sadly I have not had the opportunity to learn its intricacies. However, I can say that the script looks like it would be easy to carve into something, possibly by using one's claws, which may be related to how the script came to be.
Traditional Khajiiti names use honorifics in Ta'agra. They change according to the individual's station in life, such as their age, job, or gender. There is great freedom in how to write out a Ta'agra name in the sense that there are no standardised rules: the honorifics can be placed either before or after the name, and can be separated by either an apostrophe, hyphen, or not separated at all. Both the name and the honorific can be capitalised, but it is also possible for only the first of them to be capitalised.
Some examples of honorifics are "daro" for feminine individuals with nimble fingers, "jo" for masculine individuals who are respected scholars, physicians and mages, and "ri," rarely awarded, used for great leaders, such as Manes - though some use it playfully for those most... horizontally active.
It should be mentioned that sometimes Khajiiti names take on Tamrielic nicknames in addition to a Ta'agra name, but the nickname can also replace the Ta'agra name completely.
Traveler's advice: It may behoove a traveler to be familiar with the more common Ta'agra honorifics to be able to tell when one is being insulted. A child being called by "ma" can be cute, but when you make a mess by accident, a snarled "ma" attached to your name is an insult by itself.