Rig built with care producing oil (9)
I believe the answer is:
lubricate
'oil' is the definition.
(oil can mean to lubricate with oil)
'rig built with care' is the wordplay.
'rig' indicates an anagram (I've seen 'rigged' mean this).
'with' says to put letters next to each other.
'built' put after 'care' is 'carebuilt'.
'carebuilt' is an anagram of 'LUBRICATE'.
'producing' is the link.
(Other definitions for lubricate that I've seen before include "Apply oil or grease to" , "Oil (a mechanism)" , "Apply oil/grease" , "Coat with oil to reduce friction" , "Bribe" .)