Father disturbed rest on lift (11)
I believe the answer is:
paternoster
'lift' is the definition.
(historic type of lift)
'father disturbed rest on' is the wordplay.
'father' becomes 'pater' (old-fashioned term for father).
'disturbed' is an anagram indicator.
'rest'+'on'='reston'
'reston' with letters rearranged gives 'noster'.
'pater'+'noster'='PATERNOSTER'
(Other definitions for paternoster that I've seen before include "supplication" , "The Lord''s Prayer" , "a continuous lift" , "One can get uplifted by this" , "that could take people to a different level" .)