School of Law SASTRA Thanjavur Answered Questions

No, clearing CLAT will only make you eligible for admission to national law universities. You will need to fulfill all the eligibility requirements of NLU you want to take admission in.
Many Private Universities take their own entrance exams for admission in law.
You may directly apply to these Universities and sit for the entrance exams.
Some of the best Universities in India are-
IILM University, Gurugram
O.P Jindal University, Sonipat
Guru Gobind Singh Indraprastha University, Delhi
Lovely Professional University, Punjab
University of Mumbai, Mumbai
Symbiosis Law School, Pune
Chandigarh University, Chandigarh
National Law University, Orissa
Indore Institute of Law, Indore