Worked hard, having no time to get lubricated (5)
I believe the answer is:
oiled
'lubricated' is the definition.
('oil' can be a synonym of 'lubricate')
'worked hard having no time' is the wordplay.
'worked hard' becomes 'toiled' (I've seen this before).
'having no' indicates named letters should be taken away.
'time' becomes 't'.
'toiled' with 't' taken away is 'OILED'.
'to get' acts as a link.
(Other definitions for oiled that I've seen before include "as silk may be" , "greasy" , "wasted" , "get drunk" , "protected from rust?" .)