The most common and most likely answer to this crossword clue is the 11 plus 6 plus 7 letter word SESSIONALLY (SILLY SEASON)
S
E
S
S
I
O
N
A
L
L
Y
(
S
I
L
L
Y
S
E
A
S
O
N
)
Buddy explains!
The straight part
We know that "Time for trivia" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case time for trivia = sessionally (silly season).The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.