The most common and most likely answer to this crossword clue is the 7 letter word STEEPLY
I've seen this crossword clue in The Times
S
T
E
E
P
L
Y
Buddy explains!
The straight part
We know that "by a huge amount" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case by a huge amount = steeply.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 STEEPLY mean?
STEEPLY adverb- In a steep manner.