The most common and most likely answer to this crossword clue is the 3 plus 3 plus 3 plus 3 plus 8 letter word THE OWL AND THE PUSSYCAT
I've seen this crossword clue in The Times
T
H
E
O
W
L
A
N
D
T
H
E
P
U
S
S
Y
C
A
T
More clues leading to the result THE OWL AND THE PUSSYCAT
Buddy explains!
The straight part
We know that "Work of member of Parliament admired by the queen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case work of member of parliament admired by the queen = the owl and the pussycat.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.