The most common and most likely answer to this crossword clue is the 7 letter word BESEECH
I've seen this crossword clue in The Guardian
B
E
S
E
E
C
H
More clues leading to the result BESEECH
- Beg directions to cut into tree
- Pray to tree, having taken hallucinogens
- Ask for a bit of blue cheese soufflé
- Request tree-lined square borders
- Petition involving empty syringe found in tree
- Earnestly ask what’s inside nest in tree
- Beg bread initially, then cheese spread
- Pray there’s melted cheese on first of burgers
- Beg for quarter in the wood
- Implore gutless Swede to enter wood
Buddy explains!

The straight part
We know that "Earnestly ask" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case earnestly ask = beseech.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 BESEECH mean?
BESEECH noun- A request.
- To beg or implore (a person)
- To request or beg for