The most common and most likely answer to this crossword clue is the 10 letter word CONSEQUENT
I've seen this crossword clue in The Daily Telegraph
C
O
N
S
E
Q
U
E
N
T
Buddy explains!
The straight part
We know that "Following" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case following = consequent.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 CONSEQUENT mean?
CONSEQUENT noun- The second half of a hypothetical proposition; Q, if the form of the proposition is "If P, then Q."
- An event which follows another.
- The second term of a ratio, i.e. the term b in the ratio a:b, the other being the antecedent.
- Following as a result, inference, or natural effect.
- Of or pertaining to consequences.