The most common and most likely answer to this crossword clue is the 11 letter word THATCHERITE
I've seen this crossword clue in The Sunday Telegraph
T
H
A
T
C
H
E
R
I
T
E
More clues leading to the result THATCHERITE
- Not this Marxist by tradition: someone very different!
- Mother hen in bird, tail of azure blue
- Right-wing Mad Hatter ethic
- Blue chatter I edited in article
- Yon revolutionary has ceremony befitting right-wing politician
- Bird minding egg, perhaps, the last of three — the one on the right?
- Right-winger that Blair suppressed back in government?
- Rightist or leftist in the ceremony over there?
Buddy explains!
The straight part
We know that "Blue" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case blue = thatcherite.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.