The most common and most likely answer to this crossword clue is the 7 letter word OLDSTER
I've seen this crossword clue in The Daily Telegraph
O
L
D
S
T
E
R
More clues leading to the result OLDSTER
- Senior citizen’s long-standing form of rest
- Midshipman, after discarding two hearts, holds the king
- Some cold, stern grandad, perhaps?
- . Greybeard is tired, sitting on rear of ship endlessly
- Person knocking on door’s let out after dropping round
- Person getting on train read lots, but no article
- Sorted out about fifty? He’s more experienced
- Part of foothold’s terribly crumbly
- Pensioner told off Queen having adopted son
- Experienced type in The Lords working with no hotel
Buddy explains!

The straight part
We know that "OAP" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case oap = oldster.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 OLDSTER mean?
OLDSTER noun- Someone who is old.
- A midshipman of four years' standing; a master's mate.