Promote business degree around facilities that are flourishing? (6)
I believe the answer is:
abloom
'are flourishing?' is the definition.
(I've seen this in another clue)
'promote business degree around facilities' is the wordplay.
'promote' says the letters should be written backwards (I've seen 'promotes' mean this (in a down clue, letters go upwards)).
'business degree' becomes 'mba' (Master of Business Administration degree).
'around' is an insertion indicator.
'facilities' becomes 'loo' (euphemistic term for a toilet).
'mba' written backwards gives 'abm'.
'abm' placed around 'loo' is 'ABLOOM'.
'that' is the link.
(Other definitions for abloom that I've seen before include "full of colour" , "no longer buddy of Rose?" , "Healthy" , "Flourishing" , "covered in flowers?" .)