Tuition isn't provided by this establishment (11)
I believe the answer is:
institution
'this establishment' is the definition.
(institution is a kind of establishment)
'tuition isn't provided' is the wordplay.
'provided' indicates an anagram (I've seen 'provide' mean this).
'tuition'+'isnt'='tuitionisnt'
'tuitionisnt' is an anagram of 'INSTITUTION'.
'by' is the link.
(Other definitions for institution that I've seen before include "college, for instance" , "Established practice" , "Foundation" , "Established law or custom" , "residential home" .)