The most common and most likely answer to this crossword clue is the 5 plus 3 plus 7 letter word ROYAL AND ANCIENT
R
O
Y
A
L
A
N
D
A
N
C
I
E
N
T
More clues leading to the result ROYAL AND ANCIENT
Buddy explains!

The straight part
We know that "Golf Club in Scotland" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case golf club in scotland = royal and ancient.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.