Yes, free speech is under serious threat in India today, because reports have been leaked to the world of examples of government attempts to stifle free speech in the country. The government in India is not as progressive as the governments of Europe or the United States. With the influence of China being so close, and India needing development of social programs, Indians still fear their government's attempts to reduce their citizens' rights to free speech.
Free speech is clearly under serious threat in India due to obvious, glaring flaws in how the government deals with it's citizens when they speak in a manner of which is against their positions. One clear example of this is the infringement on the things that the Indian peoples can say on the internet.