That pattern doesen't look too difficult maybe you could ignore the instructions for the most part. I would definately do a mock up first in some very cheap nylon lycra first to test and test your techniqies if you are not confidant. An overlocker would be good, or maybe your sewingmachine has a nice 3 step zig zag stitch - this is really a lingerie stitch - but I think it looks cute, this can be used for turning the elastic (eg around the legs) under and neatening. Knit fabrics do not fray, so the overlocker is not essential.
Give it a go - next you'll be making your own bra!
I tried making a 1950s suit from cotton and still have yet to finish it, lol! But I've heard lots of good things about the Alison, minus the instructions.
Maybe there should be a sew weekly challenge of making the Alison?
I just made this swimsuit! I changed it up a bit, you can check it out in my studio on burdastyle, my member name is Mamadiosa. The instructions were very incomplete but it is do-able. You kind of have to play around with it a bit. I wrote a pretty detailed description of how I went about it. But there are some great tutorials out there that can help.
like this one!