Hello aspirant!
Hope you are doing well.

The Rehabilitation Council of India (RCI) approves the training in universities, colleges, and institutions.

Yes there are many institutions in India which have RCI approved Mphil in Clinical Psychology
So here I am providing you a list of some of those institutions

• Lokopriya Gopinath Bordoli Regional Institute of Mental Health
• Government Medical College & Hospital, Department of Psychiatry
  
• Post Graduate Institute of Behavioural & Medical Sciences
  
• Medical College Kathi Darwaza, Post-Graduate Department of Psychiatry
  
• Shree Guru Gobind Singh Tricentenary University Chandu
  
• Institute of Human Behaviour & Allied Sciences (IHBAS)
  
• Department of Clinical Psychology, School of Allied Health Sciences, Manipal University
  
• INSTITUTE OF MENTAL HEALTH & NEUROSCIENCES (IMHANS), GOVT. MEDICAL COLLEGE CAMPUS
  
• Amrita Institute of Medical Sciences & Research Centre AIMS
  
• Regional Institute of Medical Sciences, (RIMS)
  
• Department of Mental Health Institute of Naval Medicine (INHS)
  

Further, here is a link to know more about Mphil in psychology :
https://university.careers360.com/colleges/list-of-mphil-in-psychology-universities-in-india


Hope this helps you
All the best