The most common and most likely answer to this crossword clue is the 8 letter word COLLIERY
I've seen this crossword clue in The Sunday Telegraph
C
O
L
L
I
E
R
Y
More clues leading to the result COLLIERY
- Dog on the tracks? It’s mine
- Perhaps Lassie trains behind Grimethorpe?
- Dog leads on rumbustious Yorkies, mine
- Dog leads to rival yours and mine
- Dog track's mine
- Fanciful art of sheepdog training is mine?
- The dog on the track is mine
- Dog found by the line is mine
- Canine found next to railway could be mine
- Dog runs with youngster, initially, in place of mine
Buddy explains!

The straight part
We know that "place of mine" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case place of mine = colliery.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 COLLIERY mean?
COLLIERY noun- An underground coal mine, together with its surface buildings.
- A facility that supplies coal.