The most common and most likely answer to this crossword clue is the 7 letter word DISSECT
I've seen this crossword clue in The Daily Telegraph
D
I
S
S
E
C
T
Buddy explains!
The straight part
We know that "Carefully analyse" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case carefully analyse = dissect.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 DISSECT mean?
DISSECT verb- To study an animal's anatomy by cutting it apart; to perform a necropsy or an autopsy.
- To study a plant or other organism's anatomy similarly.
- To analyze an idea in detail by separating it into its parts.
- To separate muscles, organs, and so on without cutting into them or disrupting their architecture.
- Of an infection or foreign material, following the fascia separating muscles or other organs.