The most common and most likely answer to this crossword clue is the 7 letter word EAGERLY
I've seen this crossword clue in The Daily Telegraph
E
A
G
E
R
L
Y
More clues leading to the result EAGERLY
- Showing keenness ahead of time, starts to get excited inside
- With some enthusiasm, front and back to glue in antique
- Receive cut in advance with enthusiasm
- For example, rising embraced by primitive with enthusiasm
- How we await New Year, eg, saving last bit of coal?
- With passion at the start, hugging Agnes regularly
- A German entering cathedral site in a keen way
- Enthusiastically changing gear in city
- Enthusiastically performing gay reel
Buddy explains!

The straight part
We know that "with enthusiasm" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case with enthusiasm = eagerly.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 EAGERLY mean?
EAGERLY adverb- In an eager manner.