I am also a student but I have talked to a lot of people about the same thing.
First of all, doing the course is not a small thing. Its like a proper degree and you need to work hard for it.
Second, even though it is a correspondence course. It requires a lot of reading up all the year round.
Its a good supplementary course along with your five year llb.
I have known a few seniors who got jobs just because they had a cs degree apart from the llb degree.
Every company requires one cs. It cannot function without it. New companies keep coming up from time to time and so the career prospects are great.
If you have any other specific questions, I would be happy to answer. :)