This pudding was finished, back in time (4)
I believe the answer is:
sago
'this pudding' is the definition.
(I've seen this before)
'finished back in time' is the wordplay.
'finished' becomes 's' (I can't explain this - if you can you should believe this answer much more).
'back in time' becomes 'ago' (I've seen this in another clue).
's'+'ago'='SAGO'
'was' acts as a link.
Can you help me to learn more?
(Other definitions for sago that I've seen before include "Starchy pudding cereal" , "Edible powdery starch" , "Palm cereal" , "Starchy grain used in desserts" , "Cereal, used in pudding" .)