LIC, Life Insurance Corporation is Indias biggest insurance firm and it is owned by the indian goverment so there is no doubt or worries about security, your money is secure!
Any amount of premium you pay per month guarantees you a good insurance with LIC.
Sometimes the staff is rude and not understanding enough, sometimes the agents are nagging a bit too much so it feels annoying but in my experience thats the problem with all the insurance firms!
LIC recently launched their IPO as well but it wasnt a hit and it soon will be private so people are scared a bit but the structure of the corporation will always remain good so theres no need to worry!
I would recommend you having an insurance with LIC!