Hey,
I am from one of the top law schools from India. I am in the top ten in my batch. I have decent internships, a couple of moots and good publications (including two international journals). I am graduating in 2019. I am confused, as should I go for an LLM right after my degree or should I work for a couple of years.

One major concern which I have with taking a break from studying is that it might seriously affect my chance at a scholarship. Is it true?

Hey! I'm in Indian too and my recommendation would be to work a year or two and try then.
I think having some practical experience before you do an LL.M will help you gain more out of it , and also some schools prefer people with work ex.

As for scholarships, that is not true. LL.M's are an expensive affair and the law schools get that, regardless of your employment.