Governing body that puts out NHS timetables (13)
I believe the answer is:
establishment
'governing body' is the definition.
(I've seen this before)
'puts out nhs timetables' is the wordplay.
'puts out' indicates an anagram (I've seen 'putting out' mean this).
'nhs'+'timetables'='nhstimetables'
'nhstimetables' is an anagram of 'ESTABLISHMENT'.
'that' acts as a link.
(Other definitions for establishment that I've seen before include "Permanent staff - powerful class" , "concern" , "system" , "Act of setting up" , "Institutionalized authority" .)