Cursive as used purely as a method of basic type seems to have mostly gone down by the wayside... it makes sense, it's a lot harder to do legibly than normal printing, and then of course you get extra difficulty by the rules of it (never lift your pen off the paper, kids!) so it becomes extra hard to read when it really doesnt need to be.
But the concepts used in it can also be the basis of certain art concepts, so it's still around to a point.
Here, it's like this:
I made this awhile back as just a practice thing to show to my father as I was learning this. This is an example of brush lettering (and this is what I specialize in, when it comes to art), which has a lot of traits of cursive while at the same time not actually being that. For instance you dont keep the brush just plastered to the paper the entire time, most letters are made up of multiple separate strokes and you do indeed take the brush/whatever off of the paper between strokes. The basic "a" for instance is two strokes, the first being a circle with pressure on the left of it, and then lift off the paper, then do the downward stroke and curve to the right into whatever letter is next, and then again, off the paper and start the next letter.
In addition, there are general concepts applying to the basic shapes and such but most artists will sort of evolve that into a style of their own, and there's a lot of room for creative flourishes and such.
Unlike cursive though it's absolutely not used for normal writing. It's meant for huge, flowing text, and it is actually very slow to do.
And that's just that, from there you can get into all sorts of screwball fonts and types, but that's a whole other topic.
The funny part with all of this though is that despite my ability to make stuff like that, my actual handwriting is a bunch of unreadable gibberish.