The most common and most likely answer to this crossword clue is the 7 letter word SEQUELS
I've seen this crossword clue in The Times
S
E
Q
U
E
L
S
Buddy explains!
The straight part
We know that "follow-ups" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case follow-ups = sequels.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 SEQUELS mean?
SEQUELS noun- The events, collectively, which follow a previously mentioned event; the aftermath.
- A narrative that is written after another narrative set in the same universe, especially a narrative that is chronologically set after its predecessors, or (perhaps improper usage) any narrative that has a preceding narrative of its own.
- Thirlage.
- A person's descendants.