The most common and most likely answer to this crossword clue is the 10 letter word PERSISTENT
I've seen this crossword clue in The Guardian
P
E
R
S
I
S
T
E
N
T
More clues leading to the result PERSISTENT
- Determined forward grabbing goals is not forward!
- Prolonged parking worked in streets
- Continual pettiness tormented boxing king
- Prettiness that’s rendered enduring
- Remarkable prettiness is long lasting
- Nicely trim dressing nurse cut on new patient
- Determined person not getting on is needing shelter
- Determined little girl, ten, saucy on the outside
- Old Middle Eastern country’s lacking a shelter for carrying on
- Tenacious relative runs up surrounded by exercise books
Buddy explains!

The straight part
We know that "enduring" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case enduring = persistent.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 PERSISTENT mean?
PERSISTENT adjective- Obstinately refusing to give up or let go.
- Insistently repetitive.
- Indefinitely continuous.
- Lasting past maturity without falling off.
- Of data or a data structure: not transient or temporary, but remaining in existence after the termination of the program that creates it.
- Describing a fractal process that has a positive Brown function
- (stochastic processes, of a state) non-transient.