From Tambaram train to Saidapet then subway to Thousand lights. 48 min ₹71. From Tambaram taxi to Gopalapuram. 23 min ₹500. From Tambaram drive to Gopalapuram. 23 min ₹191. From Tambaram Uber to Gopalapuram. 23 min ₹467.
There is no direct connection from Tambaram to Gopalapuram. However, you can take the train to Saidapet then take the subway to Thousand lights. Alternatively, you can travel from Tambaram to Gopalapuram in around 23 min.