Allotted or delegated (8)
I believe the answer is:
assigned
I believe this clue is a double definition.
'allotted' is the first definition.
(similar in meaning)
'delegated' is the second definition.
('assign' can be a synonym of 'delegate')
(Other definitions for assigned that I've seen before include "Told" , "selected" , "Appointed to a duty or task" , "Allotted or appointed to a post" , "Allocated" .)