Meet demands for programme facility (7)
I believe the answer is:
appease
'meet demands' is the definition.
(as in appeasing someone's demands)
'programme facility' is the wordplay.
'programme' becomes 'app' (type of computer programme).
'facility' becomes 'ease' (I've seen this in another clue).
'app'+'ease'='APPEASE'
'for' is the link.
(Other definitions for appease that I've seen before include "Placate by giving in to demands" , "To behave like Chamberlain" , "Placate (someone) with concessions" , "Placate by making concessions" , "be satisfying" .)