The most common and most likely answer to this crossword clue is the 8 letter word PECTORAL
I've seen this crossword clue in The Daily Telegraph
P
E
C
T
O
R
A
L
More clues leading to the result PECTORAL
- Kissed noisily on mouth, touching chest
- Model clear top, showing muscle
- Muscle exercises court dictated?
- Cleopatra is excited after casting off her last breastplate!
- Nibbled, we hear, and said to be sort of cross
- Muscle, bit by ear affecting the mouth
- Muscle training on hill in California
- Muscle employed by Inspector Alleyn
Buddy explains!

The straight part
We know that "sort of cross" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sort of cross = pectoral.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 PECTORAL mean?
PECTORAL noun- A pectoral fin.
- Protective armor for a horse's breast.
- A covering or protection for the breast.
- A breastplate, especially that worn by the Jewish high priest.
- A clasp, cross, or ornamental square of cloth etc. worn upon the breast.
- A medicine for diseases of the chest organs, especially the lungs.
- Of or pertaining to the breast, or chest.
- Relating to, or good for, diseases of the chest or lungs.
- Having the breast conspicuously colored.