The most common and most likely answer to this crossword clue is the 8 letter word HISTORIC
I've seen this crossword clue in Financial Times
H
I
S
T
O
R
I
C
More clues leading to the result HISTORIC
- Goulash so rich it is celebrated
- Significant this novel, or one chapter
- Varied riots occupying left-wingers in Havana in case of importance
- From Memphis to Richmond? That is momentous!
- Important to give this to Richard, but not all of it
- Choir with its quavers breaking new ground
- This represented nothing slightly less than precious or important
- Significant the man’s Conservative, almost in charge
- Mash is, to Richard, somewhat remarkable
- The man’s too rich — repeatedly making reductions is important
Buddy explains!

The straight part
We know that "Significant" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case significant = historic.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.
What does HISTORIC mean?
HISTORIC noun- A history, a non-fiction account of the past.
- A historian.
- Very important; noteworthy: having importance or significance in history.
- Old-fashioned, untouched by modernity.
- (grammar) Various grammatical tenses and moods specially used in retelling past events.
- Of, concerning, or in accordance with recorded history, (particularly) as opposed to legends, myths, and fictions.
- Of, concerning, or in accordance with the past generally.
- Of, concerning, or in accordance with the scholarly discipline of history.
- Forming compound adjectives with the meaning "historical/~" or "historically":