The second time, a pudding comes with it (5)
I believe the answer is:
trice
'the second' is the definition.
(both can mean a very short amount of time)
'time a pudding comes with it' is the wordplay.
'time' becomes 't' (abbreviation).
'a pudding' becomes 'ric' (I am not sure about this - if you are sure you should believe this answer much more).
'comes with' says to put letters next to each other.
'it' becomes 'e' ('e' can mean 'electronic' which is similar to 'IT').
't'+'ric'+'e'='TRICE'
Can you help me to learn more?
(Other definitions for trice that I've seen before include "Old use for three times" , "Haul" , "Flash" , "Very brief moment" , "Second" .)