Yes, life insurance corporations of India (LIC) does have endowment plans that offer limited/monthly investment option. Some of them are as under:

1. Limited premium endowment plan - under this plan, let's say the policyholder has chosen 12-year policy. Now s/he will pay premiums only up to a maximum period of 8 or 9 years.
2. New endowment plan - under this plan, the policyholder can choose from 12 to 35 years of policy term. S/he can also choose to pay premiums monthly, quarterly, half yearly or yearly.
3. Jeevan lakshya - under this plan, the policyholder can choose a tenure ranging from 13 to 25 years.
4. Jeevan rakshak - here, the policyholder can select a plan ranging from 10 to 20 years of tenure.

New jeevan anand - under this plan, the policyholder can select a tenure ranging from 15 to 35 years.