The most common and most likely answer to this crossword clue is the 4 plus 9 letter word WELL PRESERVED
W
E
L
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P
R
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Buddy explains!

The straight part
We know that "still looking good" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case still looking good = well preserved.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 WELL PRESERVED mean?
WELL PRESERVED adjective- (of an older person) healthy and ageing gracefully
- (of an old, possibly ancient, object) in good condition considering its age.