The most common and most likely answer to this crossword clue is the 8 letter word RELATION
I've seen this crossword clue in The Times
R
E
L
A
T
I
O
N
More clues leading to the result RELATION
- Kinsman’s narrative?
- Opening of rail transport link
- Helping to bring in the Spanish alliance
- Account for Republican euphoria
- Maybe sister Joy follows brother ultimately
- Story of never-ending euphoria
- Narrator’s ultimate joy is storytelling
- Account about Ostrogoth leader in classical language
- The story of my wife, perhaps?
- The Castilian comes into part of the story
Buddy explains!

The straight part
We know that "link" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case link = relation.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 RELATION mean?
RELATION noun- The manner in which two things may be associated.
- A member of one's family.
- The act of relating a story.
- A set of ordered tuples.
- Specifically, a set of ordered pairs.
- A set of ordered tuples retrievable by a relational database; a table.
- A statement of equality of two products of generators, used in the presentation of a group.
- A subobject of a product of objects.
- (usually collocated: sexual relation) The act of intercourse.