Terrible despair after time moved slowly (8)
I believe the answer is:
traipsed
'moved slowly' is the definition.
(to traipse is to move around slowly or hesitantly)
'terrible despair after time' is the wordplay.
'terrible' indicates an anagram.
'after' is a charade indicator (letters next to each other).
'time' becomes 't' (abbreviation).
'despair' with letters rearranged gives 'raipsed'.
'raipsed' put after 't' is 'TRAIPSED'.
(Other definitions for traipsed that I've seen before include "Trudged" , "Walked along idly or wearily" , "Struggled along" , "Walked along, weary and reluctant" , "plodded on" .)