Motto found in record kept by hospital (6)
I believe the answer is:
slogan
'motto' is the definition.
(synonyms)
'record kept by hospital' is the wordplay.
'record' becomes 'log' (logging is a kind of recording).
'kept by' is an insertion indicator.
'hospital' becomes 'san' (I've seen this before).
'log' put inside 'san' is 'SLOGAN'.
'found in' acts as a link.
(Other definitions for slogan that I've seen before include "Marketing phrase" , "Rallying cry" , "Shibboleth" , "Short catchy phrase used in advertising" , "Motto, catchy phrase" .)