The most common and most likely answer to this crossword clue is the 7 plus 3 letter word PRAIRIE DOG
I've seen this crossword clue in The Times
P
R
A
I
R
I
E
D
O
G
More clues leading to the result PRAIRIE DOG
- New World rodent, plain, with tail
- A porridge I mixed up for rodent
- Burrowing rodent in short programme, broadcast internally around India
- Yielding ape or rigid rodent
- Animal display that is at last filmed to fill TV slot
- First-class porridge cooked for animal
- Rodent with plain tail
- Ground squirrel‘s plain tail
Buddy explains!

The straight part
We know that "Burrowing rodent" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case burrowing rodent = prairie dog.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.