The most common and most likely answer to this crossword clue is the 8 letter word HARDLINE
I've seen this crossword clue in The Daily Telegraph
H
A
R
D
L
I
N
E
More clues leading to the result HARDLINE
Buddy explains!

The straight part
We know that "Uncompromising" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case uncompromising = hardline.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 HARDLINE mean?
HARDLINE noun- A retail product collection consisting primarily of hardware targeting the do-it-yourself customer.
- A retail product collection which includes many non-information goods, such as home appliances, housewares, and sporting goods, in addition to the DIY hardware which is the focus of the first definition, above.
- A physical wire or cable connection; landline
- Uncompromising; rigidly holding to a set of beliefs
- Belonging to a hardline