Very happy with line in Times after the event (9)

I believe the answer is:
belatedly
'after the event' is the definition.
I can't tell whether this definition defines the answer.
'very happy with line in times' is the wordplay.
'very happy' becomes 'elated' (I've seen this before).
'with' says to put letters next to each other.
'line' becomes 'l' (used when specifying particular lines from a poem).
'in' means one lot of letters goes inside another.
'times' becomes 'by' (both can mean 'multiplied by').
'elated'+'l'='elatedl'
'elatedl' placed inside 'by' is 'BELATEDLY'.
Can you help me to learn more?
(Other definitions for belatedly that I've seen before include "after some delay" , "Adverb meaning very or too late" , "after usual time" , "after date" .)
