The most common and most likely answer to this crossword clue is the 11 letter word WEATHERWORN
I've seen this crossword clue in The Times
W
E
A
T
H
E
R
W
O
R
N
More clues leading to the result WEATHERWORN
Buddy explains!

The straight part
We know that "Beaten by elements" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beaten by elements = weatherworn.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 WEATHERWORN mean?
WEATHERWORN adjective- Damaged or eroded by the weather.