The type of subject that sticks in the mind or that's the current thinking about the situation (10)
I believe the answer is:
psychology
'the type of subject that sticks in the mind or that's the current thinking about the situation' is the definition.
'psychology' can be an answer for 'the type of subject'. I am unsure of the rest of the definition.
'the type of subject' is the wordplay.
'the type of' becomes 'psych' (I can't explain this - if you can you should believe this answer much more).
'subject' becomes 'ology' (ology is a kind of subject).
'psych'+'ology'='PSYCHOLOGY'
Can you help me to learn more?
(Other definitions for psychology that I've seen before include "Study of the mind and its functions" , "Science of the mind" , "Jung's field" , "Study of human and animal behaviour" .)