With the monsoon trying to still catchup , an upcoming surge looks a possibility. The possibility of a low forming over north bay of Bengal within a couple of days could further help its cause. Some models expect the low to strengthen into a depression and further track into Central India eventually.
TN and Chennai’s luck with the thunderstorms might continue for one more day until the circulation consolidates into a low pressure and further this could dwindle down over the next couple days with a few isolated light showers.