The most common and most likely answer to this crossword clue is the 7 letter word CRANIUM
I've seen this crossword clue in The Daily Telegraph
C
R
A
N
I
U
M
More clues leading to the result CRANIUM
- Cummings primarily a toxic element, not primarily a brainbox
- Nutcase has stuff about Ulster University
- Skull in opening of chiller set on an island possessed by spirit
- Contrary drug cop I, with little hesitation, nut
- Beginnings of markings usually in curve upward in skull
- Stuff about Northern Ireland by posh nutcase
- Brainbox picks out devious thief from vandalised fruit machine
- This case will need something of a brain
- Metal you finally gave up for Chennai's head
- Administered dose of vitaminin head
Buddy explains!

The straight part
We know that "nutcase" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nutcase = cranium.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 CRANIUM mean?
CRANIUM noun- The braincase or neurocranium; that part of the skull consisting of the bones enclosing the brain, but not including the bones of the face or jaw.
- The upper portion of the skull, including the neurocranium and facial bones, but not including the jawbone (mandible).
- The skull.