Outsource supply to be obliging (9)
I believe the answer is:
courteous
'be obliging' is the definition.
(thesaurus)
'outsource supply' is the wordplay.
'supply' indicates an anagram (in a supple way).
'outsource' with letters rearranged gives 'COURTEOUS'.
'to' is the link.
(Other definitions for courteous that I've seen before include "like civil service?" , "Mannerly" , "Polite, considerate" , "Respectful in manner" .)