The most common and most likely answer to this crossword clue is the 9 plus 6 letter word HOT-WATER BOTTLE
I've seen this crossword clue in The Guardian
H
O
T
-
W
A
T
E
R
B
O
T
T
L
E
More clues leading to the result HOT-WATER BOTTLE
Buddy explains!
The straight part
We know that "It may soothe" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case it may soothe = hot-water bottle.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.