Not losing cover in winter is enduringly popular (9)
I believe the answer is:
evergreen
'enduringly popular' is the definition.
(evergreen can mean popular or dependable)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for evergreen that I've seen before include "Laurel, for example" , "Pine, for example" , "kind of shrub" , "Hardy, no doubt" , "Star anise, say" .)