The most common and most likely answer to this crossword clue is the 10 letter word REGARDLESS
I've seen this crossword clue in The Daily Telegraph
R
E
G
A
R
D
L
E
S
S
More clues leading to the result REGARDLESS
- Showing no respect, in spite of everything
- Lacking consideration, come what may
- Large dress looks silly, no matter what
- Elgar fiddled with dress, whatever the conditions
- Anyway, like the blind?
- Without consideration, no matter what
- Man destroyed seals with doctor without concern for circumstances
- Despite everything, look at fewer
- Despite everything, don’t watch so much?
- Look at fewer, even so
Buddy explains!

The straight part
We know that "even so" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case even so = regardless.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 REGARDLESS mean?
REGARDLESS adjective- Having no regard; heedless; careless.
- Without attention to warnings or indications of bad consequences.
- Paying no attention to; regardless of.